x2/3-12=x1/3

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Solution for x2/3-12=x1/3 equation:


x in (-oo:+oo)

(x^2)/3-12 = (x^1)/3 // - (x^1)/3

(x^2)/3-((x^1)/3)-12 = 0

(x^2)/3-(x/3)-12 = 0

1/3*x^2-1/3*x-12 = 0

DELTA = (-1/3)^2-(-12*1/3*4)

DELTA = 145/9

DELTA > 0

x = ((145/9)^(1/2)+1/3)/(1/3*2) or x = (1/3-(145/9)^(1/2))/(1/3*2)

x = 3/2*((145/9)^(1/2)+1/3) or x = 3/2*(1/3-(145/9)^(1/2))

x in { 3/2*(1/3-(145/9)^(1/2)), 3/2*((145/9)^(1/2)+1/3) }

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