## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises - Page 122: 84

#### Answer

The equation has one rational solution.

#### Work Step by Step

$x^{2}+4x+4=0$ The discriminant is given by $b^{2}-4ac$. For this equation, $a=1$, $b=4$ and $c=4$ Let the discriminant be $D$. Substitute the known values into the formula and evaluate: $D=4^{2}-4(1)(4)=16-16=0$ Since the discriminant is equal to $0$, the equation has only one solution and it is a rational number.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.