x^2/3-5x^1/3=36

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Solution for x^2/3-5x^1/3=36 equation:


x in (-oo:+oo)

(x^2)/3-((5*x^1)/3) = 36 // - 36

(x^2)/3-((5*x^1)/3)-36 = 0

(x^2)/3+(-5/3)*x-36 = 0

1/3*x^2-5/3*x-36 = 0

DELTA = (-5/3)^2-(-36*1/3*4)

DELTA = 457/9

DELTA > 0

x = ((457/9)^(1/2)+5/3)/(1/3*2) or x = (5/3-(457/9)^(1/2))/(1/3*2)

x = 3/2*((457/9)^(1/2)+5/3) or x = 3/2*(5/3-(457/9)^(1/2))

x in { 3/2*(5/3-(457/9)^(1/2)), 3/2*((457/9)^(1/2)+5/3) }

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