5.1.6 The Quadratic Formula Key Objectives • Solve quadratic equations using the Quadratic Formula. • Classify roots using the discriminant. Key Terms • The discriminant of the quadratic equation ax 2 + bx + c = 0 ( a ≠ 0) is b 2 − 4 ac .
Quadratic Formula
Example 1 Quadratic Functions with Real Zeros
To find the zeros of a quadratic function, substitute 0 for f ( x ) and then solve the equation. The Quadratic Formula can be used to solve any quadratic equation that is written in standard form, including equations with real solutions or complex solutions.
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