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

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


x in (-oo:+oo)

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

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

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

1/2*x^2-3*x+2 = 0

DELTA = (-3)^2-(1/2*2*4)

DELTA = 5

DELTA > 0

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

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

x in { 3-5^(1/2), 5^(1/2)+3 }

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