(X-3)^2/3=36

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Solution for (X-3)^2/3=36 equation: 


X in (-oo:+oo)

((X-3)^2)/3 = 36 // - 36

((X-3)^2)/3-36 = 0

((X-3)^2)/3+(-36*3)/3 = 0

(X-3)^2-36*3 = 0

X^2-6*X-99 = 0

X^2-6*X-99 = 0

X^2-6*X-99 = 0

DELTA = (-6)^2-(-99*1*4)

DELTA = 432

DELTA > 0

X = (432^(1/2)+6)/(1*2) or X = (6-432^(1/2))/(1*2)

X = (12*3^(1/2)+6)/2 or X = (6-12*3^(1/2))/2

(X-((6-12*3^(1/2))/2))*(X-((12*3^(1/2)+6)/2)) = 0

((X-((6-12*3^(1/2))/2))*(X-((12*3^(1/2)+6)/2)))/3 = 0

((X-((6-12*3^(1/2))/2))*(X-((12*3^(1/2)+6)/2)))/3 = 0 // * 3

(X-((6-12*3^(1/2))/2))*(X-((12*3^(1/2)+6)/2)) = 0

( X-((12*3^(1/2)+6)/2) )

X-((12*3^(1/2)+6)/2) = 0 // + (12*3^(1/2)+6)/2

X = (12*3^(1/2)+6)/2

( X-((6-12*3^(1/2))/2) )

X-((6-12*3^(1/2))/2) = 0 // + (6-12*3^(1/2))/2

X = (6-12*3^(1/2))/2

X in { (12*3^(1/2)+6)/2, (6-12*3^(1/2))/2 }

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