(x-2)^2/3=3

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


x in (-oo:+oo)

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

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

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

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

x^2-4*x-5 = 0

x^2-4*x-5 = 0

x^2-4*x-5 = 0

DELTA = (-4)^2-(-5*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+4)/(1*2) or x = (4-36^(1/2))/(1*2)

x = 5 or x = -1

(x+1)*(x-5) = 0

((x+1)*(x-5))/3 = 0

((x+1)*(x-5))/3 = 0 // * 3

(x+1)*(x-5) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -1, 5 }

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