x^2-5x=(3x)^1/2

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Solution for x^2-5x=(3x)^1/2 equation: 


x in (-oo:+oo)

x^2-(5*x) = ((3*x)^1)/2 // - ((3*x)^1)/2

x^2-(5*x)-(((3*x)^1)/2) = 0

x^2-5*x+(-3/2)*x = 0

x^2-13/2*x = 0

DELTA = (-13/2)^2-(0*1*4)

DELTA = 169/4

DELTA > 0

x = ((169/4)^(1/2)+13/2)/(1*2) or x = (13/2-(169/4)^(1/2))/(1*2)

x = 13/2 or x = 0

x in { 0, 13/2 }

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