SOLUTION: How do I find the solution to this equation by completing the square: x^2-4x-8=0 Thank you for the help.

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Question 1047285: How do I find the solution to this equation by completing the square:
x^2-4x-8=0
Thank you for the help.

Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%5E2-4x-8 = 0,

%28x%5E2+-+4x+%2B4%29+-+4+-+8 = 0,     ( <--- add 4 and distract 4; then group )

%28x-2%29%5E2+-+12 = 0,  --->

%28x-2%29%5E2 = 12,

x-2 = +/-sqrt%2812%29 = +/-2%2Asqrt%283%29,

x = 2 +/-2%2Asqrt%283%29.

Solved.