Quadratic Equations

Quadratic equations arise in geometry, motion, area problems and algebraic modelling. Their standard form is ax² + bx + c = 0 with a ≠ 0.

A quadratic equation is identified by highest power 2 of the variable. Students should know how to rewrite word problems into standard form before solving.

When the quadratic can be split into two linear factors, each factor is equated to zero. This method is efficient for well-structured equations and strengthens factor sense.

The formula x = [-b ± √(b² - 4ac)] / 2a gives the roots for every quadratic equation. It is especially useful when factorisation is not easy or when roots are irrational.