You can put this solution on YOUR website! Solve by completeing the square
x^2=5x+2
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x^2-5x+? = 2 + ?
x^2-5x+[(1/2)5]^2 = 2 + [(1/2)5]^2
x^2-5x+(25/4) = 2 + (25/4)
(x+(5/2))^2 = 33/4
x+(5/2) = [sqrt33]/2 or x+(5/2) = -[sqrt33]/2
x = [-5+sqrt33]/2 or x = [-5-sqrt33]/2
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Cheers,
Stan H.