SOLUTION: Solve the following quadratic equation by completing the square. 2x^2- 8x +5 = 0

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Question 112082: Solve the following quadratic equation by completing the square.
2x^2- 8x +5 = 0

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve the following quadratic equation by completing the square.
2x^2- 8x +5 = 0
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2x^2-8x = -5
2(x^2-4x + ?) = -5 +2*?
2(x^2-4x+4) = -5 +2*4
2(x-2)^2= 3
(x-2)^2 = 3/2
x-2 = sqrt(3/2) or -sqrt(3/2)
x = 2 + (1/2)sqrt(6) or x = 2-(1/2)sqrt(6)
================
Cheers,
Stan H.

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