이차부등식

1. 이차부등식과 이차함수의 관계
1. 이차부등식
   부등식의 모든 항을 좌변으로 이항하여 정리하였을 때,
   , , ,
   과 같이 좌변이 에 대한 이차식인 부등식을 에 대한 이차부등식이라 한다.
2. 이차부등식의 해와 이차함수의 그래프의 관계
1. 의 해
   이차함수 에서 인 의 값의 범위, 즉
   의 그래프가 축보다 위쪽에 있는 부분의 의 값의 범위
2. 의 해
   이차함수 에서 인 의 값의 범위, 즉
   의 그래프가 축보다 아래쪽에 있는 부분의 의 값의 범위



a > 0 a < 0 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="386.584615pt" height="316.8pt" viewBox="0 0 386.584615 316.8" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-05-13T07:06:50.183951</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 316.8 
L 386.584615 316.8 
L 386.584615 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 309.6 
L 379.384615 309.6 
L 379.384615 7.2 
L 7.2 7.2 
z
" style="fill: #ffffff"/>
   </g>
   <g id="patch_3">
    <path d="M 378.042685 193.292308 
L 362.945964 198.324548 
L 364.455636 193.292308 
L 377.874943 193.292308 
L 377.874943 193.292308 
L 364.455636 193.292308 
L 362.945964 188.260068 
z
"/>
   </g>
   <g id="text_1">
    <!-- $y &gt; 0$ -->
    <g transform="translate(307.958807 135.631022) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3e" d="M 4218 1449 
C 4339 1507 4346 1545 4346 1590 
C 4346 1628 4333 1673 4218 1725 
L 755 3322 
C 672 3360 659 3360 646 3360 
C 570 3360 525 3296 525 3245 
C 525 3168 576 3142 659 3104 
L 3949 1590 
L 653 65 
C 525 6 525 -39 525 -77 
C 525 -128 570 -192 646 -192 
C 659 -192 666 -185 755 -147 
L 4218 1449 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-3e" transform="translate(78.812789 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(182.358894 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $y &lt; 0$ -->
    <g transform="translate(261.43573 265.895638) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-3c" d="M 4218 3104 
C 4333 3155 4346 3200 4346 3238 
C 4346 3309 4294 3360 4224 3360 
C 4211 3360 4205 3353 4115 3315 
L 653 1719 
C 538 1667 525 1622 525 1584 
C 525 1539 531 1501 653 1442 
L 4115 -154 
C 4198 -192 4211 -192 4224 -192 
C 4294 -192 4346 -141 4346 -70 
C 4346 -32 4333 13 4218 64 
L 922 1581 
L 4218 3104 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-3c" transform="translate(78.812789 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(182.358894 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 51.712402 -1 
L 52.773626 3.38928 
L 60.369231 33.151648 
L 67.964835 61.260552 
L 75.56044 87.71599 
L 83.156044 112.517964 
L 90.751648 135.666472 
L 98.347253 157.161516 
L 105.942857 177.003095 
L 113.538462 195.191209 
L 121.134066 211.725858 
L 128.72967 226.607042 
L 136.325275 239.834761 
L 143.920879 251.409015 
L 151.516484 261.329805 
L 159.112088 269.597129 
L 166.707692 276.210989 
L 174.303297 281.171384 
L 181.898901 284.478314 
L 189.494505 286.131778 
L 197.09011 286.131778 
L 204.685714 284.478314 
L 212.281319 281.171384 
L 219.876923 276.210989 
L 227.472527 269.597129 
L 235.068132 261.329805 
L 242.663736 251.409015 
L 250.259341 239.834761 
L 257.854945 226.607042 
L 265.450549 211.725858 
L 273.046154 195.191209 
L 280.641758 177.003095 
L 288.237363 157.161516 
L 295.832967 135.666472 
L 303.428571 112.517964 
L 311.024176 87.71599 
L 318.61978 61.260552 
L 326.215385 33.151648 
L 333.810989 3.38928 
L 334.872213 -1 
" clip-path="url(#p2b00ea0e46)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_4">
    <path d="M 7.2 193.292308 
L 379.384615 193.292308 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_3">
    <!-- $x$ -->
    <g transform="translate(360.775385 226.788923) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 273.872641 200.270769 
C 275.72335 200.270769 277.498509 199.535475 278.807158 198.226825 
C 280.115807 196.918176 280.851102 195.143017 280.851102 193.292308 
C 280.851102 191.441598 280.115807 189.66644 278.807158 188.35779 
C 277.498509 187.049141 275.72335 186.313846 273.872641 186.313846 
C 272.021931 186.313846 270.246773 187.049141 268.938123 188.35779 
C 267.629474 189.66644 266.894179 191.441598 266.894179 193.292308 
C 266.894179 195.143017 267.629474 196.918176 268.938123 198.226825 
C 270.246773 199.535475 272.021931 200.270769 273.872641 200.270769 
z
" clip-path="url(#p2b00ea0e46)" style="fill: #ffffff; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 112.711975 200.270769 
C 114.562684 200.270769 116.337843 199.535475 117.646492 198.226825 
C 118.955142 196.918176 119.690436 195.143017 119.690436 193.292308 
C 119.690436 191.441598 118.955142 189.66644 117.646492 188.35779 
C 116.337843 187.049141 114.562684 186.313846 112.711975 186.313846 
C 110.861265 186.313846 109.086107 187.049141 107.777457 188.35779 
C 106.468808 189.66644 105.733513 191.441598 105.733513 193.292308 
C 105.733513 195.143017 106.468808 196.918176 107.777457 198.226825 
C 109.086107 199.535475 110.861265 200.270769 112.711975 200.270769 
z
" clip-path="url(#p2b00ea0e46)" style="fill: #ffffff; stroke: #000000; stroke-linejoin: miter"/>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p2b00ea0e46">
   <rect x="7.2" y="7.2" width="372.184615" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="372.920391pt" height="316.8pt" viewBox="0 0 372.920391 316.8" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-05-13T07:07:40.239750</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 316.8 
L 372.920391 316.8 
L 372.920391 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 309.6 
L 357.808696 309.6 
L 357.808696 7.2 
L 7.2 7.2 
z
" style="fill: #ffffff"/>
   </g>
   <g id="patch_3">
    <path d="M 356.506242 103.617391 
L 341.85364 108.501592 
L 343.3189 103.617391 
L 356.343435 103.617391 
L 356.343435 103.617391 
L 343.3189 103.617391 
L 341.85364 98.733191 
z
"/>
   </g>
   <g id="text_1">
    <!-- $y &gt; 0$ -->
    <g transform="translate(257.862218 49.731892) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3e" d="M 4218 1449 
C 4339 1507 4346 1545 4346 1590 
C 4346 1628 4333 1673 4218 1725 
L 755 3322 
C 672 3360 659 3360 646 3360 
C 570 3360 525 3296 525 3245 
C 525 3168 576 3142 659 3104 
L 3949 1590 
L 653 65 
C 525 6 525 -39 525 -77 
C 525 -128 570 -192 646 -192 
C 659 -192 666 -185 755 -147 
L 4218 1449 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-3e" transform="translate(78.812789 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(182.358894 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $y &lt; 0$ -->
    <g transform="translate(297.305696 198.740588) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-3c" d="M 4218 3104 
C 4333 3155 4346 3200 4346 3238 
C 4346 3309 4294 3360 4224 3360 
C 4211 3360 4205 3353 4115 3315 
L 653 1719 
C 538 1667 525 1622 525 1584 
C 525 1539 531 1501 653 1442 
L 4115 -154 
C 4198 -192 4211 -192 4224 -192 
C 4294 -192 4346 -141 4346 -70 
C 4346 -32 4333 13 4218 64 
L 922 1581 
L 4218 3104 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-3c" transform="translate(78.812789 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(182.358894 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 41.668597 317.8 
L 42.976398 312.106173 
L 50.131677 282.511548 
L 57.286957 254.474534 
L 64.442236 227.995132 
L 71.597516 203.073343 
L 78.752795 179.709165 
L 85.908075 157.902599 
L 93.063354 137.653644 
L 100.218634 118.962302 
L 107.373913 101.828571 
L 114.529193 86.252453 
L 121.684472 72.233946 
L 128.839752 59.773051 
L 135.995031 48.869768 
L 143.150311 39.524097 
L 150.30559 31.736038 
L 157.46087 25.50559 
L 164.616149 20.832754 
L 171.771429 17.717531 
L 178.926708 16.159919 
L 186.081988 16.159919 
L 193.237267 17.717531 
L 200.392547 20.832754 
L 207.547826 25.50559 
L 214.703106 31.736038 
L 221.858385 39.524097 
L 229.013665 48.869768 
L 236.168944 59.773051 
L 243.324224 72.233946 
L 250.479503 86.252453 
L 257.634783 101.828571 
L 264.790062 118.962302 
L 271.945342 137.653644 
L 279.100621 157.902599 
L 286.255901 179.709165 
L 293.41118 203.073343 
L 300.56646 227.995132 
L 307.721739 254.474534 
L 314.877019 282.511548 
L 322.032298 312.106173 
L 323.340099 317.8 
" clip-path="url(#pe3e20c907e)" style="fill: none; stroke: #000000; stroke-width: 2.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_4">
    <path d="M 7.2 103.617391 
L 357.808696 103.617391 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_3">
    <!-- $x$ -->
    <g transform="translate(340.278261 135.172174) scale(0.3 -0.3)">
     <defs>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 258.413357 110.191304 
C 260.156779 110.191304 261.82903 109.498635 263.061816 108.26585 
C 264.294601 107.033064 264.98727 105.360813 264.98727 103.617391 
C 264.98727 101.873969 264.294601 100.201718 263.061816 98.968933 
C 261.82903 97.736147 260.156779 97.043478 258.413357 97.043478 
C 256.669935 97.043478 254.997684 97.736147 253.764899 98.968933 
C 252.532113 100.201718 251.839444 101.873969 251.839444 103.617391 
C 251.839444 105.360813 252.532113 107.033064 253.764899 108.26585 
C 254.997684 109.498635 256.669935 110.191304 258.413357 110.191304 
z
" clip-path="url(#pe3e20c907e)" style="fill: #ffffff; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 106.595339 110.191304 
C 108.338761 110.191304 110.011011 109.498635 111.243797 108.26585 
C 112.476583 107.033064 113.169252 105.360813 113.169252 103.617391 
C 113.169252 101.873969 112.476583 100.201718 111.243797 98.968933 
C 110.011011 97.736147 108.338761 97.043478 106.595339 97.043478 
C 104.851916 97.043478 103.179666 97.736147 101.94688 98.968933 
C 100.714094 100.201718 100.021425 101.873969 100.021425 103.617391 
C 100.021425 105.360813 100.714094 107.033064 101.94688 108.26585 
C 103.179666 109.498635 104.851916 110.191304 106.595339 110.191304 
z
" clip-path="url(#pe3e20c907e)" style="fill: #ffffff; stroke: #000000; stroke-linejoin: miter"/>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pe3e20c907e">
   <rect x="7.2" y="7.2" width="350.608696" height="302.4"/>
  </clipPath>
 </defs>
</svg>
'
2. 이차부등식의 풀이
   에 대하여 이차함수 의 그래프가 축과 만나는 점의 좌표를 , , 이차방정식 의 판별식을 라 하면 이차부등식의 해는 다음과 같다.

이차부등식의 해의 조건

1. 이차부등식의 작성
1. 해가 이고 의 계수가 인 이차부등식은
   
2. 해가 또는 이고 의 계수가 인 이차부등식은
   
2. 이차부등식이 항상 성립할 조건
   이차방정식 의 판별식을 라 할 때, 모든 실수 에 대하여
1. 이 성립하려면
2. 이 성립하려면
3. 이 성립하려면
4. 이 성립하려면


3. 연립이차부등식
1. 연립이차부등식
   과 같이 연립부등식에서 차수가 가장 높은 부등식이 이차부등식일 떄, 이 연립부등식을 연립이차부등식이라 한다.
2. 연립이차부등식의 풀이
   연립이차부등식의 해는 다음과 같은 순서로 구한다.
1. 연립부등식을 이루는 각각의 부등식의 해를 구한다.
2. 각 부등식의 해의 공통부분을 수직선을 이용하여 구한다.