(x+2)^2/3=9

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Solution for (x+2)^2/3=9 equation: 


x in (-oo:+oo)

((x+2)^2)/3 = 9 // - 9

((x+2)^2)/3-9 = 0

((x+2)^2)/3+(-9*3)/3 = 0

(x+2)^2-9*3 = 0

x^2+4*x-23 = 0

x^2+4*x-23 = 0

x^2+4*x-23 = 0

DELTA = 4^2-(-23*1*4)

DELTA = 108

DELTA > 0

x = (108^(1/2)-4)/(1*2) or x = (-108^(1/2)-4)/(1*2)

x = (6*3^(1/2)-4)/2 or x = (-6*3^(1/2)-4)/2

(x-((-6*3^(1/2)-4)/2))*(x-((6*3^(1/2)-4)/2)) = 0

((x-((-6*3^(1/2)-4)/2))*(x-((6*3^(1/2)-4)/2)))/3 = 0

((x-((-6*3^(1/2)-4)/2))*(x-((6*3^(1/2)-4)/2)))/3 = 0 // * 3

(x-((-6*3^(1/2)-4)/2))*(x-((6*3^(1/2)-4)/2)) = 0

( x-((-6*3^(1/2)-4)/2) )

x-((-6*3^(1/2)-4)/2) = 0 // + (-6*3^(1/2)-4)/2

x = (-6*3^(1/2)-4)/2

( x-((6*3^(1/2)-4)/2) )

x-((6*3^(1/2)-4)/2) = 0 // + (6*3^(1/2)-4)/2

x = (6*3^(1/2)-4)/2

x in { (-6*3^(1/2)-4)/2, (6*3^(1/2)-4)/2 }

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