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2x^2 + 5x - 8 = 0

Solve the quadratic equation by completing the square.

1 answer

x^2 + (5/2)x = 4
x^2 + (5/2)x + 25/16 = 4 + 25/16
(x + 5/4)^2 = 89/16
x + 5/4 = ± √89/4
x = (-5 ± √89)/4
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