1/2x^2-3x=5

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Solution for 1/2x^2-3x=5 equation: 


x in (-oo:+oo)

(1/2)*x^2-(3*x) = 5 // - 5

(1/2)*x^2-(3*x)-5 = 0

(1/2)*x^2-3*x-5 = 0

1/2*x^2-3*x-5 = 0

DELTA = (-3)^2-(-5*1/2*4)

DELTA = 19

DELTA > 0

x = (19^(1/2)+3)/(1/2*2) or x = (3-19^(1/2))/(1/2*2)

x = 19^(1/2)+3 or x = 3-19^(1/2)

x in { 3-19^(1/2), 19^(1/2)+3 }

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