1/2x^2-x=7

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Solution for 1/2x^2-x=7 equation: 


x in (-oo:+oo)

(1/2)*x^2-x = 7 // - 7

(1/2)*x^2-x-7 = 0

1/2*x^2-x-7 = 0

DELTA = (-1)^2-(-7*1/2*4)

DELTA = 15

DELTA > 0

x = (15^(1/2)+1)/(1/2*2) or x = (1-15^(1/2))/(1/2*2)

x = 15^(1/2)+1 or x = 1-15^(1/2)

x in { 1-15^(1/2), 15^(1/2)+1 }

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