1/6x^2-1/3x=1

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Solution for 1/6x^2-1/3x=1 equation: 


x in (-oo:+oo)

(1/6)*x^2-((1/3)*x) = 1 // - 1

(1/6)*x^2-((1/3)*x)-1 = 0

(1/6)*x^2+(-1/3)*x-1 = 0

1/6*x^2-1/3*x-1 = 0

DELTA = (-1/3)^2-(-1*1/6*4)

DELTA = 7/9

DELTA > 0

x = ((7/9)^(1/2)+1/3)/(1/6*2) or x = (1/3-(7/9)^(1/2))/(1/6*2)

x = 3*((7/9)^(1/2)+1/3) or x = 3*(1/3-(7/9)^(1/2))

x in { 3*(1/3-(7/9)^(1/2)), 3*((7/9)^(1/2)+1/3) }

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