(x-8)2/3=4

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Solution for (x-8)2/3=4 equation: 


x in (-oo:+oo)

((x-8)^2)/3 = 4 // - 4

((x-8)^2)/3-4 = 0

((x-8)^2)/3+(-4*3)/3 = 0

(x-8)^2-4*3 = 0

x^2-16*x+52 = 0

x^2-16*x+52 = 0

x^2-16*x+52 = 0

DELTA = (-16)^2-(1*4*52)

DELTA = 48

DELTA > 0

x = (48^(1/2)+16)/(1*2) or x = (16-48^(1/2))/(1*2)

x = (4*3^(1/2)+16)/2 or x = (16-4*3^(1/2))/2

(x-((16-4*3^(1/2))/2))*(x-((4*3^(1/2)+16)/2)) = 0

((x-((16-4*3^(1/2))/2))*(x-((4*3^(1/2)+16)/2)))/3 = 0

((x-((16-4*3^(1/2))/2))*(x-((4*3^(1/2)+16)/2)))/3 = 0 // * 3

(x-((16-4*3^(1/2))/2))*(x-((4*3^(1/2)+16)/2)) = 0

( x-((16-4*3^(1/2))/2) )

x-((16-4*3^(1/2))/2) = 0 // + (16-4*3^(1/2))/2

x = (16-4*3^(1/2))/2

( x-((4*3^(1/2)+16)/2) )

x-((4*3^(1/2)+16)/2) = 0 // + (4*3^(1/2)+16)/2

x = (4*3^(1/2)+16)/2

x in { (16-4*3^(1/2))/2, (4*3^(1/2)+16)/2 }

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