5-x=1/2x^2

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 11

DELTA > 0

x = (11^(1/2)+1)/(-1/2*2) or x = (1-11^(1/2))/(-1/2*2)

x = -(11^(1/2)+1) or x = 11^(1/2)-1

x in { -(11^(1/2)+1), 11^(1/2)-1 }

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