## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 45

#### Answer

{$-4-\sqrt15$}, {$-4+\sqrt15$} This above answer is written as a solution set, however it can also be written as: $x=-4\pm\sqrt15$

#### Work Step by Step

Solve by completing the square. $x^2+8x+1$ Take the c term to the other side. $-1=x^2+8x$ Create a perfect square trinomial, and add the new c term to the other side as well. $-1+16=x^2+8x+16$ Factor. $15=(x+4)^2$ Solve. $\sqrt(x+4)^2=\sqrt15$ $x=-4\pm\sqrt15$

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