(X-10)^2/3=16

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Solution for (X-10)^2/3=16 equation:


X in (-oo:+oo)

((X-10)^2)/3 = 16 // - 16

((X-10)^2)/3-16 = 0

((X-10)^2)/3+(-16*3)/3 = 0

(X-10)^2-16*3 = 0

X^2-20*X+52 = 0

X^2-20*X+52 = 0

X^2-20*X+52 = 0

DELTA = (-20)^2-(1*4*52)

DELTA = 192

DELTA > 0

X = (192^(1/2)+20)/(1*2) or X = (20-192^(1/2))/(1*2)

X = (8*3^(1/2)+20)/2 or X = (20-8*3^(1/2))/2

(X-((20-8*3^(1/2))/2))*(X-((8*3^(1/2)+20)/2)) = 0

((X-((20-8*3^(1/2))/2))*(X-((8*3^(1/2)+20)/2)))/3 = 0

((X-((20-8*3^(1/2))/2))*(X-((8*3^(1/2)+20)/2)))/3 = 0 // * 3

(X-((20-8*3^(1/2))/2))*(X-((8*3^(1/2)+20)/2)) = 0

( X-((20-8*3^(1/2))/2) )

X-((20-8*3^(1/2))/2) = 0 // + (20-8*3^(1/2))/2

X = (20-8*3^(1/2))/2

( X-((8*3^(1/2)+20)/2) )

X-((8*3^(1/2)+20)/2) = 0 // + (8*3^(1/2)+20)/2

X = (8*3^(1/2)+20)/2

X in { (20-8*3^(1/2))/2, (8*3^(1/2)+20)/2 }

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