(x/3-1)^2=25

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Solution for (x/3-1)^2=25 equation: 


x in (-oo:+oo)

(x/3-1)^2 = 25 // - 25

(x/3-1)^2-25 = 0

(1/3*x-1)^2-25 = 0

(1/3*x-1)^2-25 = 0

1/9*x^2-2/3*x-24 = 0

1/9*x^2-2/3*x-24 = 0

1/9*x^2-2/3*x-24 = 0

DELTA = (-2/3)^2-(-24*1/9*4)

DELTA = 100/9

DELTA > 0

x = ((100/9)^(1/2)+2/3)/(1/9*2) or x = (2/3-(100/9)^(1/2))/(1/9*2)

x = 18 or x = -12

(x+12)*(x-18) = 0

(x+12)*(x-18) = 0

( x+12 )

x+12 = 0 // - 12

x = -12

( x-18 )

x-18 = 0 // + 18

x = 18

x in { -12, 18 }

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