x^2=4/3x+96/9

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Solution for x^2=4/3x+96/9 equation: 


x in (-oo:+oo)

x^2 = (4/3)*x+96/9 // - (4/3)*x+96/9

x^2-((4/3)*x)-(96/9) = 0

x^2+(-4/3)*x-32/3 = 0

x^2-4/3*x-32/3 = 0

DELTA = (-4/3)^2-(-32/3*1*4)

DELTA = 400/9

DELTA > 0

x = ((400/9)^(1/2)+4/3)/(1*2) or x = (4/3-(400/9)^(1/2))/(1*2)

x = 4 or x = -8/3

x in { -8/3, 4 }

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