(x-2)^2/3=(13x-66)^1/3

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Solution for (x-2)^2/3=(13x-66)^1/3 equation:


x in (-oo:+oo)

((x-2)^2)/3 = ((13*x-66)^1)/3 // - ((13*x-66)^1)/3

((x-2)^2)/3-(((13*x-66)^1)/3) = 0

((x-2)^2)/3-((13*x-66)/3) = 0

((x-2)^2)/3+(-1*(13*x-66))/3 = 0

(x-2)^2-1*(13*x-66) = 0

x^2-17*x+70 = 0

x^2-17*x+70 = 0

x^2-17*x+70 = 0

DELTA = (-17)^2-(1*4*70)

DELTA = 9

DELTA > 0

x = (9^(1/2)+17)/(1*2) or x = (17-9^(1/2))/(1*2)

x = 10 or x = 7

(x-7)*(x-10) = 0

((x-7)*(x-10))/3 = 0

((x-7)*(x-10))/3 = 0 // * 3

(x-7)*(x-10) = 0

( x-10 )

x-10 = 0 // + 10

x = 10

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 10, 7 }

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