(x+2)^2/3=64

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Solution for (x+2)^2/3=64 equation: 


x in (-oo:+oo)

((x+2)^2)/3 = 64 // - 64

((x+2)^2)/3-64 = 0

((x+2)^2)/3+(-64*3)/3 = 0

(x+2)^2-64*3 = 0

x^2+4*x-188 = 0

x^2+4*x-188 = 0

x^2+4*x-188 = 0

DELTA = 4^2-(-188*1*4)

DELTA = 768

DELTA > 0

x = (768^(1/2)-4)/(1*2) or x = (-768^(1/2)-4)/(1*2)

x = (16*3^(1/2)-4)/2 or x = (-16*3^(1/2)-4)/2

(x-((-16*3^(1/2)-4)/2))*(x-((16*3^(1/2)-4)/2)) = 0

((x-((-16*3^(1/2)-4)/2))*(x-((16*3^(1/2)-4)/2)))/3 = 0

((x-((-16*3^(1/2)-4)/2))*(x-((16*3^(1/2)-4)/2)))/3 = 0 // * 3

(x-((-16*3^(1/2)-4)/2))*(x-((16*3^(1/2)-4)/2)) = 0

( x-((-16*3^(1/2)-4)/2) )

x-((-16*3^(1/2)-4)/2) = 0 // + (-16*3^(1/2)-4)/2

x = (-16*3^(1/2)-4)/2

( x-((16*3^(1/2)-4)/2) )

x-((16*3^(1/2)-4)/2) = 0 // + (16*3^(1/2)-4)/2

x = (16*3^(1/2)-4)/2

x in { (-16*3^(1/2)-4)/2, (16*3^(1/2)-4)/2 }

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