x^2-2a/3x

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Solution for x^2-2a/3x equation: 


x in (-oo:+oo)

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

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

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

DELTA = (-2/3*a)^2-(0*1*4)

DELTA = 4/9*a^2

4/9*a^2 = 0

4/9*a^2 = 0 // : 4/9

a^2 = 0

a = 0

DELTA = 0  <=>  t_1 = 0

x = (-(-2/3*a))/(1*2) i a = 0

x = 1/3*a i a = 0

( x = ((4/9*a^2)^(1/2)-(-2/3*a))/(1*2) or x = (-(-2/3*a)-(4/9*a^2)^(1/2))/(1*2) ) i a > 0

( x = 2/3*a or x = 0 ) i a > 0

a+0 > 0

a > 0

a+0 > 0 // - 0

a > 0

x in { 1/3*a, 2/3*a, 0 }

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