((x-9)/3)^2-7

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Solution for ((x-9)/3)^2-7 equation: 


x in (-oo:+oo)

((x-9)/3)^2-7 = 0

((x-9)^2)/(3^2)-7 = 0

((x-9)^2)/(3^2)+(-7*3^2)/(3^2) = 0

(x-9)^2-7*3^2 = 0

x^2-18*x+18 = 0

x^2-18*x+18 = 0

x^2-18*x+18 = 0

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

DELTA = 252

DELTA > 0

x = (252^(1/2)+18)/(1*2) or x = (18-252^(1/2))/(1*2)

x = (6*7^(1/2)+18)/2 or x = (18-6*7^(1/2))/2

(x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)) = 0

((x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)))/(3^2) = 0

((x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)))/(3^2) = 0 // * 9

(x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)) = 0

( x-((18-6*7^(1/2))/2) )

x-((18-6*7^(1/2))/2) = 0 // + (18-6*7^(1/2))/2

x = (18-6*7^(1/2))/2

( x-((6*7^(1/2)+18)/2) )

x-((6*7^(1/2)+18)/2) = 0 // + (6*7^(1/2)+18)/2

x = (6*7^(1/2)+18)/2

x in { (18-6*7^(1/2))/2, (6*7^(1/2)+18)/2 }

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