x^2-x=10/9

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Solution for x^2-x=10/9 equation: 


x in (-oo:+oo)

x^2-x = 10/9 // - 10/9

x^2-x-(10/9) = 0

x^2-x-10/9 = 0

x^2-x-10/9 = 0

DELTA = (-1)^2-(-10/9*1*4)

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)+1)/(1*2) or x = (1-(49/9)^(1/2))/(1*2)

x = 5/3 or x = -2/3

x in { -2/3, 5/3 }

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