(X-1)2/3=4

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Solution for (X-1)2/3=4 equation: 


X in (-oo:+oo)

((X-1)^2)/3 = 4 // - 4

((X-1)^2)/3-4 = 0

((X-1)^2)/3+(-4*3)/3 = 0

(X-1)^2-4*3 = 0

X^2-2*X-11 = 0

X^2-2*X-11 = 0

X^2-2*X-11 = 0

DELTA = (-2)^2-(-11*1*4)

DELTA = 48

DELTA > 0

X = (48^(1/2)+2)/(1*2) or X = (2-48^(1/2))/(1*2)

X = (4*3^(1/2)+2)/2 or X = (2-4*3^(1/2))/2

(X-((2-4*3^(1/2))/2))*(X-((4*3^(1/2)+2)/2)) = 0

((X-((2-4*3^(1/2))/2))*(X-((4*3^(1/2)+2)/2)))/3 = 0

((X-((2-4*3^(1/2))/2))*(X-((4*3^(1/2)+2)/2)))/3 = 0 // * 3

(X-((2-4*3^(1/2))/2))*(X-((4*3^(1/2)+2)/2)) = 0

( X-((2-4*3^(1/2))/2) )

X-((2-4*3^(1/2))/2) = 0 // + (2-4*3^(1/2))/2

X = (2-4*3^(1/2))/2

( X-((4*3^(1/2)+2)/2) )

X-((4*3^(1/2)+2)/2) = 0 // + (4*3^(1/2)+2)/2

X = (4*3^(1/2)+2)/2

X in { (2-4*3^(1/2))/2, (4*3^(1/2)+2)/2 }

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