(X-1)2/3=121

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Solution for (X-1)2/3=121 equation:


X in (-oo:+oo)

((X-1)^2)/3 = 121 // - 121

((X-1)^2)/3-121 = 0

((X-1)^2)/3+(-121*3)/3 = 0

(X-1)^2-121*3 = 0

X^2-2*X-362 = 0

X^2-2*X-362 = 0

X^2-2*X-362 = 0

DELTA = (-2)^2-(-362*1*4)

DELTA = 1452

DELTA > 0

X = (1452^(1/2)+2)/(1*2) or X = (2-1452^(1/2))/(1*2)

X = (22*3^(1/2)+2)/2 or X = (2-22*3^(1/2))/2

(X-((2-22*3^(1/2))/2))*(X-((22*3^(1/2)+2)/2)) = 0

((X-((2-22*3^(1/2))/2))*(X-((22*3^(1/2)+2)/2)))/3 = 0

((X-((2-22*3^(1/2))/2))*(X-((22*3^(1/2)+2)/2)))/3 = 0 // * 3

(X-((2-22*3^(1/2))/2))*(X-((22*3^(1/2)+2)/2)) = 0

( X-((2-22*3^(1/2))/2) )

X-((2-22*3^(1/2))/2) = 0 // + (2-22*3^(1/2))/2

X = (2-22*3^(1/2))/2

( X-((22*3^(1/2)+2)/2) )

X-((22*3^(1/2)+2)/2) = 0 // + (22*3^(1/2)+2)/2

X = (22*3^(1/2)+2)/2

X in { (2-22*3^(1/2))/2, (22*3^(1/2)+2)/2 }

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