1/8x^2-1/9x=1

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Solution for 1/8x^2-1/9x=1 equation: 


x in (-oo:+oo)

(1/8)*x^2-((1/9)*x) = 1 // - 1

(1/8)*x^2-((1/9)*x)-1 = 0

(1/8)*x^2+(-1/9)*x-1 = 0

1/8*x^2-1/9*x-1 = 0

DELTA = (-1/9)^2-(-1*1/8*4)

DELTA = 83/162

DELTA > 0

x = ((83/162)^(1/2)+1/9)/(1/8*2) or x = (1/9-(83/162)^(1/2))/(1/8*2)

x = 4*((83/162)^(1/2)+1/9) or x = 4*(1/9-(83/162)^(1/2))

x in { 4*(1/9-(83/162)^(1/2)), 4*((83/162)^(1/2)+1/9) }

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