n^2+8/3=10/3n

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Solution for n^2+8/3=10/3n equation:


n in (-oo:+oo)

n^2+8/3 = (10/3)*n // - (10/3)*n

n^2-((10/3)*n)+8/3 = 0

n^2+(-10/3)*n+8/3 = 0

n^2-10/3*n+8/3 = 0

DELTA = (-10/3)^2-(1*8/3*4)

DELTA = 4/9

DELTA > 0

n = ((4/9)^(1/2)+10/3)/(1*2) or n = (10/3-(4/9)^(1/2))/(1*2)

n = 2 or n = 4/3

n in { 4/3, 2 }

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