II. Equations and Inequalities 4) Discriminant of Quadratic Equations (Basics)
Exams by Grade · K10 · Author: jaeinpark
Q1 Find a minimum of integers such that there exists a solution of the quadratic inequality for . Q2 Find a maximum of integers such that there is no solution of the quadratic inequality for . Q3 Find the number of integers such that there is no solution to the quadratic inequality for . Q4 Find the maximum of integers such that the quadratic inequality for holds for all real . Q5 Find the minimum of real numbers such that the quadratic inequality holds for all real numbers . Q6 Find the range of values of the real number such that the following quadratic inequality holds for all real numbers . Q7 Find the range of values of the real number such that the following quadratic inequality holds for all real numbers . Q8 When the quadratic expression is a perfect square, find the value of the real number . Q9 What is the sum of all real numbers that makes the quadratic expression for be a perfect square expression? Q10 What is the value of real number such that an equation for has a multiple root? (Here, ) Q11 If an equation for has a multiple root , find the value of . (Here, is a real number.) Q12 If a quadratic equation for has a real root, Which of the following cannot be a value of ? Q13 Find the number of natural numbers so that a quadratic equation for has a real root.