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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 89/81

DELTA > 0

x = ((89/81)^(1/2)+1)/(2/9*2) or x = (1-(89/81)^(1/2))/(2/9*2)

x = 9/4*((89/81)^(1/2)+1) or x = 9/4*(1-(89/81)^(1/2))

x in { 9/4*(1-(89/81)^(1/2)), 9/4*((89/81)^(1/2)+1) }

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