(x+9)2/3=6

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Solution for (x+9)2/3=6 equation: 


x in (-oo:+oo)

((x+9)^2)/3 = 6 // - 6

((x+9)^2)/3-6 = 0

((x+9)^2)/3+(-6*3)/3 = 0

(x+9)^2-6*3 = 0

x^2+18*x+63 = 0

x^2+18*x+63 = 0

x^2+18*x+63 = 0

DELTA = 18^2-(1*4*63)

DELTA = 72

DELTA > 0

x = (72^(1/2)-18)/(1*2) or x = (-72^(1/2)-18)/(1*2)

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

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

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

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

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

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

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

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

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

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

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

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

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