Posted by **John** on Tuesday, November 13, 2007 at 6:30pm.

Two more I would like to check my work on:

Solve using the square root property:

(x+6)^2 = 4

x+6 = sqrt4 x+6 = -sqrt4

x+6 = 2 x+6 = -2

x+6-6 = 2-6 x+6-6 = -2-6

x = 4 x = -8

Solve by completing the square:

x^2+6x+1=0

x^2+6x+1-1 = 0-1

x^2+6x = -1

x^2+6x+9 = -1+9

(x+3)^2 = -1+9

(x+3)^2 = 8

sqrt(x+3)^2 = sqrt8

x+3 = +-sqrt8

x+3-3 = -3 +-sqrt8

x = -3 +-sqrt8

x = -3 -sqrt8 , x = -3 +sqrt8

x = -3 -2sqrt2 , x = -3 +2sqrt2

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