(x^2/2)+(5/2)x=2

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Solution for (x^2/2)+(5/2)x=2 equation:


x in (-oo:+oo)

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

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

1/2*x^2+5/2*x-2 = 0

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

DELTA = 41/4

DELTA > 0

x = ((41/4)^(1/2)-5/2)/(1/2*2) or x = (-(41/4)^(1/2)-5/2)/(1/2*2)

x = (41/4)^(1/2)-5/2 or x = -((41/4)^(1/2)+5/2)

x in { -((41/4)^(1/2)+5/2), (41/4)^(1/2)-5/2 }

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