(x+5)^2/3=4

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Solution for (x+5)^2/3=4 equation:


x in (-oo:+oo)

((x+5)^2)/3 = 4 // - 4

((x+5)^2)/3-4 = 0

((x+5)^2)/3+(-4*3)/3 = 0

(x+5)^2-4*3 = 0

x^2+10*x+13 = 0

x^2+10*x+13 = 0

x^2+10*x+13 = 0

DELTA = 10^2-(1*4*13)

DELTA = 48

DELTA > 0

x = (48^(1/2)-10)/(1*2) or x = (-48^(1/2)-10)/(1*2)

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

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

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

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

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

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

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

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

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

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

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

x in { (-4*3^(1/2)-10)/2, (4*3^(1/2)-10)/2 }

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