x^2/2+3/2x=3

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Solution for x^2/2+3/2x=3 equation: 


x in (-oo:+oo)

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

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

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

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

DELTA = 33/4

DELTA > 0

x = ((33/4)^(1/2)-3/2)/(1/2*2) or x = (-(33/4)^(1/2)-3/2)/(1/2*2)

x = (33/4)^(1/2)-3/2 or x = -((33/4)^(1/2)+3/2)

x in { -((33/4)^(1/2)+3/2), (33/4)^(1/2)-3/2 }

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