# Math

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Solve by completing the square,
8x^2+4x-4=0

• Math -

divide by 8 and re-arrange
x^2 + (1/2)x = 1/2
x^2 + (1/2)x + 1/16 = 1/2 + 1/16
(x + 1/4)^2 = 9/16
x + 1/4 = ± 3/4
x = -1/4 ± 3/4
= 1/2 or -1

• Math -

Reiny,

Im sorry but where is the 1/16 coming from?

• Math -

take half of the middle coefficient , the square it

1/2 of 1/2 is 1/4
1/4 squared is 1/16

I added that to both sides, thus not changing the value of my equation.

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