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x2 -5x-6=0 completing the square

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x^2 - 5x - 6 = 0

x^2 - 5x - 6 + 6 = 0 + 6

x^2 - 5x _______ = 6____

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-5 x 1/2 = (-5/2)^2 = 25/4
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x^2 - 5x + 25/4 = 6 + 25/4

factor..

(x-5/2)^2 = 49/4

do the square root property.

x-5/2 = ±7/2

and that's the answer

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