y2+3/2y=3

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Solution for y2+3/2y=3 equation: 


y in (-oo:+oo)

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

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

y^2+3/2*y-3 = 0

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

DELTA = 57/4

DELTA > 0

y = ((57/4)^(1/2)-3/2)/(1*2) or y = (-(57/4)^(1/2)-3/2)/(1*2)

y = ((57/4)^(1/2)-3/2)/2 or y = (-((57/4)^(1/2)+3/2))/2

y in { (-((57/4)^(1/2)+3/2))/2, ((57/4)^(1/2)-3/2)/2 }

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