1/2x+x^2=800

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Solution for 1/2x+x^2=800 equation: 


x in (-oo:+oo)

x^2+(1/2)*x = 800 // - 800

x^2+(1/2)*x-800 = 0

x^2+1/2*x-800 = 0

DELTA = (1/2)^2-(-800*1*4)

DELTA = 12801/4

DELTA > 0

x = ((12801/4)^(1/2)-1/2)/(1*2) or x = (-(12801/4)^(1/2)-1/2)/(1*2)

x = ((12801/4)^(1/2)-1/2)/2 or x = (-((12801/4)^(1/2)+1/2))/2

x in { (-((12801/4)^(1/2)+1/2))/2, ((12801/4)^(1/2)-1/2)/2 }

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