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factoring

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39
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how would i factor this? x^2+16x=22. is the gcf x^2 or 2

Oct 24, 2022

#1
+1023
+1

There is no greatest common factor.

First, get 0 on one side.

x^2 + 16x - 22 = 0

Factors of 22: (22, 1) and (11, 2)

We see that there is no factors of 22 that add/subtract to get 16.

Complete the square:

x^2 + 16x + 64 = 86

(x + 8)^2 = 86

$$x + 8 = \pm\sqrt{86}$$

$$x = -8 \pm \sqrt{86}$$

Oct 24, 2022