## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 718: 42

#### Answer

$$0=x^2-7$$

#### Work Step by Step

To write a quadratic equation with the given values as solutions, we find the corresponding factors. We then FOIL out the factors to find the original quadratic equation: $$0=\left(x+\sqrt{7}\right)\left(x-\sqrt{7}\right)\\ 0=x^2-\left(\sqrt{7}\right)^2\\ 0=x^2-7$$

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