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Quadratic Equations
Example 12

Example 12: Quadratic Equation Methods

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

Problem

Sum of roots for 2x2−16x+14=0 is ?\text{Sum of roots for }2x^2-16x+14=0\text{ is }?

1. Recognize Pattern

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

2. Apply Method

3x2−3x−18=0⇒x∈{−2,3}3x^2-3x-18=0\Rightarrow x\in\left\{-2,3\right\}

3. Conclude

r1+r2=−ba=8r_1+r_2=-\frac{b}{a}=8

Final answer

r1+r2=−ba=8r_1+r_2=-\frac{b}{a}=8
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