(X-5)^2/3-2=2

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Solution for (X-5)^2/3-2=2 equation:


X in (-oo:+oo)

((X-5)^2)/3-2 = 2 // - 2

((X-5)^2)/3-2-2 = 0

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

(X-5)^2-2*3-2*3 = 0

X^2-10*X-6+19 = 0

X^2-10*X+13 = 0

X^2-10*X+13 = 0

X^2-10*X+13 = 0

DELTA = (-10)^2-(1*4*13)

DELTA = 48

DELTA > 0

X = (48^(1/2)+10)/(1*2) or X = (10-48^(1/2))/(1*2)

X = (4*3^(1/2)+10)/2 or X = (10-4*3^(1/2))/2

(X-((10-4*3^(1/2))/2))*(X-((4*3^(1/2)+10)/2)) = 0

((X-((10-4*3^(1/2))/2))*(X-((4*3^(1/2)+10)/2)))/3 = 0

((X-((10-4*3^(1/2))/2))*(X-((4*3^(1/2)+10)/2)))/3 = 0 // * 3

(X-((10-4*3^(1/2))/2))*(X-((4*3^(1/2)+10)/2)) = 0

( X-((10-4*3^(1/2))/2) )

X-((10-4*3^(1/2))/2) = 0 // + (10-4*3^(1/2))/2

X = (10-4*3^(1/2))/2

( X-((4*3^(1/2)+10)/2) )

X-((4*3^(1/2)+10)/2) = 0 // + (4*3^(1/2)+10)/2

X = (4*3^(1/2)+10)/2

X in { (10-4*3^(1/2))/2, (4*3^(1/2)+10)/2 }

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