1/4x^2-1/2x=1

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Solution for 1/4x^2-1/2x=1 equation: 


x in (-oo:+oo)

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

(1/4)*x^2-((1/2)*x)-1 = 0

(1/4)*x^2+(-1/2)*x-1 = 0

1/4*x^2-1/2*x-1 = 0

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

DELTA = 5/4

DELTA > 0

x = ((5/4)^(1/2)+1/2)/(1/4*2) or x = (1/2-(5/4)^(1/2))/(1/4*2)

x = 2*((5/4)^(1/2)+1/2) or x = 2*(1/2-(5/4)^(1/2))

x in { 2*(1/2-(5/4)^(1/2)), 2*((5/4)^(1/2)+1/2) }

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