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

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Solution for (X-1)^2/3-25=0 equation:


X in (-oo:+oo)

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

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

(X-1)^2-25*3 = 0

X^2-2*X-74 = 0

X^2-2*X-74 = 0

X^2-2*X-74 = 0

DELTA = (-2)^2-(-74*1*4)

DELTA = 300

DELTA > 0

X = (300^(1/2)+2)/(1*2) or X = (2-300^(1/2))/(1*2)

X = (10*3^(1/2)+2)/2 or X = (2-10*3^(1/2))/2

(X-((2-10*3^(1/2))/2))*(X-((10*3^(1/2)+2)/2)) = 0

((X-((2-10*3^(1/2))/2))*(X-((10*3^(1/2)+2)/2)))/3 = 0

((X-((2-10*3^(1/2))/2))*(X-((10*3^(1/2)+2)/2)))/3 = 0 // * 3

(X-((2-10*3^(1/2))/2))*(X-((10*3^(1/2)+2)/2)) = 0

( X-((10*3^(1/2)+2)/2) )

X-((10*3^(1/2)+2)/2) = 0 // + (10*3^(1/2)+2)/2

X = (10*3^(1/2)+2)/2

( X-((2-10*3^(1/2))/2) )

X-((2-10*3^(1/2))/2) = 0 // + (2-10*3^(1/2))/2

X = (2-10*3^(1/2))/2

X in { (10*3^(1/2)+2)/2, (2-10*3^(1/2))/2 }

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