(3a)^2=a^2+4/3a

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Solution for (3a)^2=a^2+4/3a equation: 


a in (-oo:+oo)

(3*a)^2 = a^2+(4/3)*a // - a^2+(4/3)*a

(3*a)^2-a^2-((4/3)*a) = 0

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

8*a^2-4/3*a = 0

DELTA = (-4/3)^2-(0*4*8)

DELTA = 16/9

DELTA > 0

a = ((16/9)^(1/2)+4/3)/(2*8) or a = (4/3-(16/9)^(1/2))/(2*8)

a = 1/6 or a = 0

a in { 0, 1/6 }

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