(X+6)^2/3=4

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Solution for (X+6)^2/3=4 equation: 


X in (-oo:+oo)

((X+6)^2)/3 = 4 // - 4

((X+6)^2)/3-4 = 0

((X+6)^2)/3+(-4*3)/3 = 0

(X+6)^2-4*3 = 0

X^2+12*X+24 = 0

X^2+12*X+24 = 0

X^2+12*X+24 = 0

DELTA = 12^2-(1*4*24)

DELTA = 48

DELTA > 0

X = (48^(1/2)-12)/(1*2) or X = (-48^(1/2)-12)/(1*2)

X = (4*3^(1/2)-12)/2 or X = (-4*3^(1/2)-12)/2

(X-((-4*3^(1/2)-12)/2))*(X-((4*3^(1/2)-12)/2)) = 0

((X-((-4*3^(1/2)-12)/2))*(X-((4*3^(1/2)-12)/2)))/3 = 0

((X-((-4*3^(1/2)-12)/2))*(X-((4*3^(1/2)-12)/2)))/3 = 0 // * 3

(X-((-4*3^(1/2)-12)/2))*(X-((4*3^(1/2)-12)/2)) = 0

( X-((-4*3^(1/2)-12)/2) )

X-((-4*3^(1/2)-12)/2) = 0 // + (-4*3^(1/2)-12)/2

X = (-4*3^(1/2)-12)/2

( X-((4*3^(1/2)-12)/2) )

X-((4*3^(1/2)-12)/2) = 0 // + (4*3^(1/2)-12)/2

X = (4*3^(1/2)-12)/2

X in { (-4*3^(1/2)-12)/2, (4*3^(1/2)-12)/2 }

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