(x-9)^2/3=9

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Solution for (x-9)^2/3=9 equation: 


x in (-oo:+oo)

((x-9)^2)/3 = 9 // - 9

((x-9)^2)/3-9 = 0

((x-9)^2)/3+(-9*3)/3 = 0

(x-9)^2-9*3 = 0

x^2-18*x+54 = 0

x^2-18*x+54 = 0

x^2-18*x+54 = 0

DELTA = (-18)^2-(1*4*54)

DELTA = 108

DELTA > 0

x = (108^(1/2)+18)/(1*2) or x = (18-108^(1/2))/(1*2)

x = (6*3^(1/2)+18)/2 or x = (18-6*3^(1/2))/2

(x-((18-6*3^(1/2))/2))*(x-((6*3^(1/2)+18)/2)) = 0

((x-((18-6*3^(1/2))/2))*(x-((6*3^(1/2)+18)/2)))/3 = 0

((x-((18-6*3^(1/2))/2))*(x-((6*3^(1/2)+18)/2)))/3 = 0 // * 3

(x-((18-6*3^(1/2))/2))*(x-((6*3^(1/2)+18)/2)) = 0

( x-((18-6*3^(1/2))/2) )

x-((18-6*3^(1/2))/2) = 0 // + (18-6*3^(1/2))/2

x = (18-6*3^(1/2))/2

( x-((6*3^(1/2)+18)/2) )

x-((6*3^(1/2)+18)/2) = 0 // + (6*3^(1/2)+18)/2

x = (6*3^(1/2)+18)/2

x in { (18-6*3^(1/2))/2, (6*3^(1/2)+18)/2 }

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