(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 = (-192^(1/2)-6)/(1*2)

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

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

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

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

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

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

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