(x/3-4)^2=9

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Solution for (x/3-4)^2=9 equation: 


x in (-oo:+oo)

(x/3-4)^2 = 9 // - 9

(x/3-4)^2-9 = 0

(1/3*x-4)^2-9 = 0

(1/3*x-4)^2-9 = 0

1/9*x^2-8/3*x+7 = 0

1/9*x^2-8/3*x+7 = 0

1/9*x^2-8/3*x+7 = 0

DELTA = (-8/3)^2-(1/9*4*7)

DELTA = 4

DELTA > 0

x = (4^(1/2)+8/3)/(1/9*2) or x = (8/3-4^(1/2))/(1/9*2)

x = 21 or x = 3

(x-3)*(x-21) = 0

(x-3)*(x-21) = 0

( x-21 )

x-21 = 0 // + 21

x = 21

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 21, 3 }

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