x^2-9x=14/4x-5

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Solution for x^2-9x=14/4x-5 equation: 


x in (-oo:+oo)

x^2-(9*x) = (14/4)*x-5 // - (14/4)*x-5

x^2-(9*x)-((14/4)*x)+5 = 0

x^2-9*x+(-7/2)*x+5 = 0

x^2-25/2*x+5 = 0

DELTA = (-25/2)^2-(1*4*5)

DELTA = 545/4

DELTA > 0

x = ((545/4)^(1/2)+25/2)/(1*2) or x = (25/2-(545/4)^(1/2))/(1*2)

x = ((545/4)^(1/2)+25/2)/2 or x = (25/2-(545/4)^(1/2))/2

x in { (25/2-(545/4)^(1/2))/2, ((545/4)^(1/2)+25/2)/2 }

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