(X-7)^2/3=2

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Solution for (X-7)^2/3=2 equation: 


X in (-oo:+oo)

((X-7)^2)/3 = 2 // - 2

((X-7)^2)/3-2 = 0

((X-7)^2)/3+(-2*3)/3 = 0

(X-7)^2-2*3 = 0

X^2-14*X+43 = 0

X^2-14*X+43 = 0

X^2-14*X+43 = 0

DELTA = (-14)^2-(1*4*43)

DELTA = 24

DELTA > 0

X = (24^(1/2)+14)/(1*2) or X = (14-24^(1/2))/(1*2)

X = (2*6^(1/2)+14)/2 or X = (14-2*6^(1/2))/2

(X-((14-2*6^(1/2))/2))*(X-((2*6^(1/2)+14)/2)) = 0

((X-((14-2*6^(1/2))/2))*(X-((2*6^(1/2)+14)/2)))/3 = 0

((X-((14-2*6^(1/2))/2))*(X-((2*6^(1/2)+14)/2)))/3 = 0 // * 3

(X-((14-2*6^(1/2))/2))*(X-((2*6^(1/2)+14)/2)) = 0

( X-((14-2*6^(1/2))/2) )

X-((14-2*6^(1/2))/2) = 0 // + (14-2*6^(1/2))/2

X = (14-2*6^(1/2))/2

( X-((2*6^(1/2)+14)/2) )

X-((2*6^(1/2)+14)/2) = 0 // + (2*6^(1/2)+14)/2

X = (2*6^(1/2)+14)/2

X in { (14-2*6^(1/2))/2, (2*6^(1/2)+14)/2 }

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