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

Published by Pearson

# Chapter 11 - Quadratic Functions and Equations - 11.1 Quadratic Equations - 11.1 Exercise Set - Page 706: 17

#### Answer

$a=\pm i$

#### Work Step by Step

Since $x^2=a$ implies $x=\pm\sqrt{a}$ (the Square Root Principle), then the solutions to the given equation, $a^2+1=0 ,$ are \begin{array}{l}\require{cancel} a^2=-1 \\\\ a=\pm\sqrt{-1} \\\\ a=\pm i .\end{array}

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