(X-7)^2/3=4

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Solution for (X-7)^2/3=4 equation: 


X in (-oo:+oo)

((X-7)^2)/3 = 4 // - 4

((X-7)^2)/3-4 = 0

((X-7)^2)/3+(-4*3)/3 = 0

(X-7)^2-4*3 = 0

X^2-14*X+37 = 0

X^2-14*X+37 = 0

X^2-14*X+37 = 0

DELTA = (-14)^2-(1*4*37)

DELTA = 48

DELTA > 0

X = (48^(1/2)+14)/(1*2) or X = (14-48^(1/2))/(1*2)

X = (4*3^(1/2)+14)/2 or X = (14-4*3^(1/2))/2

(X-((14-4*3^(1/2))/2))*(X-((4*3^(1/2)+14)/2)) = 0

((X-((14-4*3^(1/2))/2))*(X-((4*3^(1/2)+14)/2)))/3 = 0

((X-((14-4*3^(1/2))/2))*(X-((4*3^(1/2)+14)/2)))/3 = 0 // * 3

(X-((14-4*3^(1/2))/2))*(X-((4*3^(1/2)+14)/2)) = 0

( X-((14-4*3^(1/2))/2) )

X-((14-4*3^(1/2))/2) = 0 // + (14-4*3^(1/2))/2

X = (14-4*3^(1/2))/2

( X-((4*3^(1/2)+14)/2) )

X-((4*3^(1/2)+14)/2) = 0 // + (4*3^(1/2)+14)/2

X = (4*3^(1/2)+14)/2

X in { (14-4*3^(1/2))/2, (4*3^(1/2)+14)/2 }

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