1/2x2-5=-1/2x

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Solution for 1/2x2-5=-1/2x equation: 


x in (-oo:+oo)

(1/2)*x^2-5 = (-1/2)*x // - (-1/2)*x

(1/2)*x^2-((-1/2)*x)-5 = 0

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

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

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

DELTA = 41/4

DELTA > 0

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

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

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

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