Relationship Between Quadratic Inequality and Corresponding Equation Roots
The key to solving ax² + bx + c > 0 ( a > 0 ) is to find the roots x₁, x₂ ( x₁ ≤ x₂ ) of the corresponding quadratic equation ax² + bx + c = 0. Explanation: Th…
Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Quadratic Inequalities
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
Practice related questions (11) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Mathematics Formula Reference
Formula and explanation
The key to solving ax² + bx + c > 0 ( a > 0 ) is to find the roots x₁, x₂ ( x₁ ≤ x₂ ) of the corresponding quadratic equation ax² + bx + c = 0. Explanation: The roots divide the number line into intervals. The solution set of the inequality is determined by these intervals and the inclusion of the roots.
Related tutorial and examples
Quadratic Inequalities
Quadratic Inequalities Quadratic inequalities are a high - frequency topic in the CSCA exam. The core strategy is "Combining Algebra and Geometry"—using the graph (parabola) of the quadratic function y = ax²⁺bx + c to determine the range of x. 1. Standard Solution Steps Mnemonic:…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.