x^2-2+2/3=2x/3

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Solution for x^2-2+2/3=2x/3 equation:


x in (-oo:+oo)

x^2+2/3-2 = (2*x)/3 // - (2*x)/3

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

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

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

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

DELTA = 52/9

DELTA > 0

x = ((52/9)^(1/2)+2/3)/(1*2) or x = (2/3-(52/9)^(1/2))/(1*2)

x = ((52/9)^(1/2)+2/3)/2 or x = (2/3-(52/9)^(1/2))/2

x in { (2/3-(52/9)^(1/2))/2, ((52/9)^(1/2)+2/3)/2 }

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