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Quadratic Equations
Example 7

Example 7: Quadratic Equation Methods

Step-by-step worked example for this lesson track.

Problem

Sum of roots for 2x2+14x+20=0 is ?\text{Sum of roots for }2x^2+14x+20=0\text{ is }?

1. Recognize Pattern

x=−b±b2−4ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

2. Apply Method

2x2+12x−32=0⇒x∈{−8,2}2x^2+12x-32=0\Rightarrow x\in\left\{-8,2\right\}

3. Conclude

r1+r2=−ba=−7r_1+r_2=-\frac{b}{a}=-7

Final answer

r1+r2=−ba=−7r_1+r_2=-\frac{b}{a}=-7
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