1/18x^2-1/9x=1

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Solution for 1/18x^2-1/9x=1 equation: 


x in (-oo:+oo)

(1/18)*x^2-((1/9)*x) = 1 // - 1

(1/18)*x^2-((1/9)*x)-1 = 0

(1/18)*x^2+(-1/9)*x-1 = 0

1/18*x^2-1/9*x-1 = 0

DELTA = (-1/9)^2-(-1*1/18*4)

DELTA = 19/81

DELTA > 0

x = ((19/81)^(1/2)+1/9)/(1/18*2) or x = (1/9-(19/81)^(1/2))/(1/18*2)

x = 9*((19/81)^(1/2)+1/9) or x = 9*(1/9-(19/81)^(1/2))

x in { 9*(1/9-(19/81)^(1/2)), 9*((19/81)^(1/2)+1/9) }

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