(x+5)^2/3=8

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Solution for (x+5)^2/3=8 equation: 


x in (-oo:+oo)

((x+5)^2)/3 = 8 // - 8

((x+5)^2)/3-8 = 0

((x+5)^2)/3+(-8*3)/3 = 0

(x+5)^2-8*3 = 0

x^2+10*x+1 = 0

x^2+10*x+1 = 0

x^2+10*x+1 = 0

DELTA = 10^2-(1*1*4)

DELTA = 96

DELTA > 0

x = (96^(1/2)-10)/(1*2) or x = (-96^(1/2)-10)/(1*2)

x = (4*6^(1/2)-10)/2 or x = (-4*6^(1/2)-10)/2

(x-((-4*6^(1/2)-10)/2))*(x-((4*6^(1/2)-10)/2)) = 0

((x-((-4*6^(1/2)-10)/2))*(x-((4*6^(1/2)-10)/2)))/3 = 0

((x-((-4*6^(1/2)-10)/2))*(x-((4*6^(1/2)-10)/2)))/3 = 0 // * 3

(x-((-4*6^(1/2)-10)/2))*(x-((4*6^(1/2)-10)/2)) = 0

( x-((-4*6^(1/2)-10)/2) )

x-((-4*6^(1/2)-10)/2) = 0 // + (-4*6^(1/2)-10)/2

x = (-4*6^(1/2)-10)/2

( x-((4*6^(1/2)-10)/2) )

x-((4*6^(1/2)-10)/2) = 0 // + (4*6^(1/2)-10)/2

x = (4*6^(1/2)-10)/2

x in { (-4*6^(1/2)-10)/2, (4*6^(1/2)-10)/2 }

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