(X-2)^2/3=15

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Solution for (X-2)^2/3=15 equation: 


X in (-oo:+oo)

((X-2)^2)/3 = 15 // - 15

((X-2)^2)/3-15 = 0

((X-2)^2)/3+(-15*3)/3 = 0

(X-2)^2-15*3 = 0

X^2-4*X-41 = 0

X^2-4*X-41 = 0

X^2-4*X-41 = 0

DELTA = (-4)^2-(-41*1*4)

DELTA = 180

DELTA > 0

X = (180^(1/2)+4)/(1*2) or X = (4-180^(1/2))/(1*2)

X = (6*5^(1/2)+4)/2 or X = (4-6*5^(1/2))/2

(X-((4-6*5^(1/2))/2))*(X-((6*5^(1/2)+4)/2)) = 0

((X-((4-6*5^(1/2))/2))*(X-((6*5^(1/2)+4)/2)))/3 = 0

((X-((4-6*5^(1/2))/2))*(X-((6*5^(1/2)+4)/2)))/3 = 0 // * 3

(X-((4-6*5^(1/2))/2))*(X-((6*5^(1/2)+4)/2)) = 0

( X-((4-6*5^(1/2))/2) )

X-((4-6*5^(1/2))/2) = 0 // + (4-6*5^(1/2))/2

X = (4-6*5^(1/2))/2

( X-((6*5^(1/2)+4)/2) )

X-((6*5^(1/2)+4)/2) = 0 // + (6*5^(1/2)+4)/2

X = (6*5^(1/2)+4)/2

X in { (4-6*5^(1/2))/2, (6*5^(1/2)+4)/2 }

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