Question 140384
Solve 2x*squared* - 5x=5 by completing the square.
2x^2 - 5x = 5
Factor out the "2":
2(x^2 -(5/2)x+? = 5 + 2*?
Complete the square on the x-terms:
2(x^2 -(5/2)x + (5/4)^2) = 5 + 2(5/4)^2
Simplify:
2(x-(5/4)^2 = 130/16
Divide both sides by 2, then take the square root of both sides to get:
(x-(5/4)) = +- sqrt(65/16)
Simplify:
x = (5/4) +- (1/4)sqrt(65)
x = (5 +-sqrt(65))/4

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Cheers,
Stan H.