x^2-3/2+6=5x

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Solution for x^2-3/2+6=5x equation: 


x in (-oo:+oo)

x^2-(3/2)+6 = 5*x // - 5*x

x^2-(5*x)-(3/2)+6 = 0

x^2-5*x-3/2+6 = 0

x^2-5*x+9/2 = 0

DELTA = (-5)^2-(1*4*9/2)

DELTA = 7

DELTA > 0

x = (7^(1/2)+5)/(1*2) or x = (5-7^(1/2))/(1*2)

x = (7^(1/2)+5)/2 or x = (5-7^(1/2))/2

x in { (5-7^(1/2))/2, (7^(1/2)+5)/2 }

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