(x-3)^2/3=16

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


x in (-oo:+oo)

((x-3)^2)/3 = 16 // - 16

((x-3)^2)/3-16 = 0

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

(x-3)^2-16*3 = 0

x^2-6*x-39 = 0

x^2-6*x-39 = 0

x^2-6*x-39 = 0

DELTA = (-6)^2-(-39*1*4)

DELTA = 192

DELTA > 0

x = (192^(1/2)+6)/(1*2) or x = (6-192^(1/2))/(1*2)

x = (8*3^(1/2)+6)/2 or x = (6-8*3^(1/2))/2

(x-((6-8*3^(1/2))/2))*(x-((8*3^(1/2)+6)/2)) = 0

((x-((6-8*3^(1/2))/2))*(x-((8*3^(1/2)+6)/2)))/3 = 0

((x-((6-8*3^(1/2))/2))*(x-((8*3^(1/2)+6)/2)))/3 = 0 // * 3

(x-((6-8*3^(1/2))/2))*(x-((8*3^(1/2)+6)/2)) = 0

( x-((6-8*3^(1/2))/2) )

x-((6-8*3^(1/2))/2) = 0 // + (6-8*3^(1/2))/2

x = (6-8*3^(1/2))/2

( x-((8*3^(1/2)+6)/2) )

x-((8*3^(1/2)+6)/2) = 0 // + (8*3^(1/2)+6)/2

x = (8*3^(1/2)+6)/2

x in { (6-8*3^(1/2))/2, (8*3^(1/2)+6)/2 }

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