x^2/2+3/2x=4

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Solution for x^2/2+3/2x=4 equation: 


x in (-oo:+oo)

(x^2)/2+(3/2)*x = 4 // - 4

(x^2)/2+(3/2)*x-4 = 0

1/2*x^2+3/2*x-4 = 0

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

DELTA = 41/4

DELTA > 0

x = ((41/4)^(1/2)-3/2)/(1/2*2) or x = (-(41/4)^(1/2)-3/2)/(1/2*2)

x = (41/4)^(1/2)-3/2 or x = -((41/4)^(1/2)+3/2)

x in { -((41/4)^(1/2)+3/2), (41/4)^(1/2)-3/2 }

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