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**Bell Ringer: Find the zeros of each function.**

4. f(x) = x2 – 18x + 16 5. f(x) = x2 + 8x – 24

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**Objectives Define and use imaginary and complex numbers.**

Solve quadratic equations with complex roots.

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**Example 2A: Solving a Quadratic Equation with Imaginary Solutions**

Solve the equation. Take square roots. Express in terms of i. Check x2 = –144 –144 (12i)2 144i 2 144(–1) x2 = –144 –144 144(–1) 144i 2 (–12i)2

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The discriminant is part of the Quadratic Formula that you can use to determine the number of real roots of a quadratic equation.

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**Make sure the equation is in standard form before you evaluate the discriminant, b2 – 4ac.**

Caution!

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