1/2x^2=31/2x

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Solution for 1/2x^2=31/2x equation: 


x in (-oo:+oo)

(1/2)*x^2 = (31/2)*x // - (31/2)*x

(1/2)*x^2-((31/2)*x) = 0

(1/2)*x^2+(-31/2)*x = 0

1/2*x^2-31/2*x = 0

DELTA = (-31/2)^2-(0*1/2*4)

DELTA = 961/4

DELTA > 0

x = ((961/4)^(1/2)+31/2)/(1/2*2) or x = (31/2-(961/4)^(1/2))/(1/2*2)

x = 31 or x = 0

x in { 0, 31 }

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