Quadratic Formula
For the quadratic equation ax² + bx + c = 0 ( a eq 0 ), its roots are: x = - b ± √(b² - 4ac) 2a Applicable Condition: a, b, c are real numbers, a eq 0. Explana…
Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Quadratic Inequalities
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This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
For the quadratic equation ax² + bx + c = 0 ( a eq 0 ), its roots are: x = - b ± √(b² - 4ac) 2a Applicable Condition: a, b, c are real numbers, a eq 0. Explanation: The discriminant Δ = b² - 4ac determines the nature of the roots (two distinct real roots, one repeated real root, or no real roots). This is a key step in solving quadratic inequalities, especially for finding the points where the expression equals zero.
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:…
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