Standard Form of Quadratic Inequality in One Variable

The general form of a quadratic inequality in one variable is: ax² + bx + c > 0 (or < 0, ≥ 0, ≤ 0 ), where a eq 0. Applicable Condition: a, b, c are real numbe…

Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Quadratic Inequalities

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CSCA Mathematics Formula Reference

Formula and explanation

The general form of a quadratic inequality in one variable is: ax² + bx + c > 0 (or < 0, ≥ 0, ≤ 0 ), where a eq 0. Applicable Condition: a, b, c are real numbers, a eq 0. Explanation: This is the basic form for solving quadratic inequalities. It must be transformed into this standard form before solving.

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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