Equations and Inequalities – Systems of Quadratic Equations (Basic)
Exams by Grade · K10 · Author: jaeinpark
Q1 When the simultaneous equations have solutions and , find the value of (Note, and ) Q2 The simultaneous equations have solutions and . Find the value of . (Note, and ) Q3 When the simultaneous equations have a solution , find the other solution (Note, and are constants.) Q4 When the simultaneous equations have solutions and , find the maximum value of . Q5 When the simultaneous equations have solutions and , find the minimum value of . Q6 When the simultaneous equations have only one pair of solutions, find the produt of all the feasible 's. Q7 There is a cuboid of which the length of diagonal of the base is cm and the height is cm. When the width and length were increased by cm each, the volume has increased by compared to the original volume. Find the width of the original cuboid. (Note, the width is longer than the length) Q8 When the simultaneous equations don't have any real solutions, find the minimal integer . Q9 When the simultaneous equations have real solutions, find the maximal natural number . Q10 When the simultaneous equations don't have any real solutions, find the minimal integer .