(x+1)^2/3=4

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Solution for (x+1)^2/3=4 equation: 


x in (-oo:+oo)

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

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

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

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

x^2+2*x-11 = 0

x^2+2*x-11 = 0

x^2+2*x-11 = 0

DELTA = 2^2-(-11*1*4)

DELTA = 48

DELTA > 0

x = (48^(1/2)-2)/(1*2) or x = (-48^(1/2)-2)/(1*2)

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

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

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

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

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

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

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

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

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

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

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

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

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