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Quadratic Equations
Example 9

Example 9: Quadratic Equation Methods

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

Problem

Sum of roots for 2x2−8x+6=0 is ?\text{Sum of roots for }2x^2-8x+6=0\text{ is }?

1. Recognize Pattern

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

2. Apply Method

2x2−4x−96=0⇒x∈{−6,8}2x^2-4x-96=0\Rightarrow x\in\left\{-6,8\right\}

3. Conclude

r1+r2=−ba=4r_1+r_2=-\frac{b}{a}=4

Final answer

r1+r2=−ba=4r_1+r_2=-\frac{b}{a}=4
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