(2x-13)^2/3-(13x)^1/3=0

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Solution for (2x-13)^2/3-(13x)^1/3=0 equation: 


x in (-oo:+oo)

((2*x-13)^2)/3-(((13*x)^1)/3) = 0

((2*x-13)^2)/3+(-13/3)*x = 0

((2*x-13)^2)/3+(-13*x)/3 = 0

(2*x-13)^2-13*x = 0

4*x^2-65*x+169 = 0

4*x^2-65*x+169 = 0

4*x^2-65*x+169 = 0

DELTA = (-65)^2-(4*4*169)

DELTA = 1521

DELTA > 0

x = (1521^(1/2)+65)/(2*4) or x = (65-1521^(1/2))/(2*4)

x = 13 or x = 13/4

(x-13/4)*(x-13) = 0

((x-13/4)*(x-13))/3 = 0

((x-13/4)*(x-13))/3 = 0 // * 3

(x-13/4)*(x-13) = 0

( x-13/4 )

x-13/4 = 0 // + 13/4

x = 13/4

( x-13 )

x-13 = 0 // + 13

x = 13

x in { 13/4, 13 }

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