x^2-2/3x=4/9

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Solution for x^2-2/3x=4/9 equation: 


x in (-oo:+oo)

x^2-((2/3)*x) = 4/9 // - 4/9

x^2-((2/3)*x)-(4/9) = 0

x^2+(-2/3)*x-4/9 = 0

x^2-2/3*x-4/9 = 0

DELTA = (-2/3)^2-(-4/9*1*4)

DELTA = 20/9

DELTA > 0

x = ((20/9)^(1/2)+2/3)/(1*2) or x = (2/3-(20/9)^(1/2))/(1*2)

x = ((20/9)^(1/2)+2/3)/2 or x = (2/3-(20/9)^(1/2))/2

x in { (2/3-(20/9)^(1/2))/2, ((20/9)^(1/2)+2/3)/2 }

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