x=1/2x^2-x-10

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Solution for x=1/2x^2-x-10 equation: 


x in (-oo:+oo)

x = (1/2)*x^2-x-10 // - (1/2)*x^2-x-10

x-((1/2)*x^2)+x+10 = 0

(-1/2)*x^2+x+x+10 = 0

2*x-1/2*x^2+10 = 0

DELTA = 2^2-(-1/2*4*10)

DELTA = 24

DELTA > 0

x = (24^(1/2)-2)/(-1/2*2) or x = (-24^(1/2)-2)/(-1/2*2)

x = 2-(2*6^(1/2)) or x = 2-(-2*6^(1/2))

x in { 2-(2*6^(1/2)), 2-(-2*6^(1/2)) }

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