(x-3)^2/3+(x-3)^1/3-6=0

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Solution for (x-3)^2/3+(x-3)^1/3-6=0 equation: 


x in (-oo:+oo)

((x-3)^2)/3+((x-3)^1)/3-6 = 0

((x-3)^2)/3+(x-3)/3-6 = 0

((x-3)^2)/3+(x-3)/3+(-6*3)/3 = 0

(x-3)^2+x-6*3-3 = 0

x^2-5*x-18+6 = 0

x^2-5*x-12 = 0

x^2-5*x-12 = 0

x^2-5*x-12 = 0

DELTA = (-5)^2-(-12*1*4)

DELTA = 73

DELTA > 0

x = (73^(1/2)+5)/(1*2) or x = (5-73^(1/2))/(1*2)

x = (73^(1/2)+5)/2 or x = (5-73^(1/2))/2

(x-((5-73^(1/2))/2))*(x-((73^(1/2)+5)/2)) = 0

((x-((5-73^(1/2))/2))*(x-((73^(1/2)+5)/2)))/3 = 0

((x-((5-73^(1/2))/2))*(x-((73^(1/2)+5)/2)))/3 = 0 // * 3

(x-((5-73^(1/2))/2))*(x-((73^(1/2)+5)/2)) = 0

( x-((5-73^(1/2))/2) )

x-((5-73^(1/2))/2) = 0 // + (5-73^(1/2))/2

x = (5-73^(1/2))/2

( x-((73^(1/2)+5)/2) )

x-((73^(1/2)+5)/2) = 0 // + (73^(1/2)+5)/2

x = (73^(1/2)+5)/2

x in { (5-73^(1/2))/2, (73^(1/2)+5)/2 }

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