16/(x+8)^2=8

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Solution for 16/(x+8)^2=8 equation: 


D( x )

(x+8)^2 = 0

(x+8)^2 = 0

(x+8)^2 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:+oo)

16/((x+8)^2) = 8 // - 8

16/((x+8)^2)-8 = 0

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

16-8*(x+8)^2 = 0

-8*x^2-128*x-496 = 0

-8*x^2-128*x-496 = 0

-8*(x^2+16*x+62) = 0

x^2+16*x+62 = 0

DELTA = 16^2-(1*4*62)

DELTA = 8

DELTA > 0

x = (8^(1/2)-16)/(1*2) or x = (-8^(1/2)-16)/(1*2)

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

-8*(x-((-2*2^(1/2)-16)/2))*(x-((2*2^(1/2)-16)/2)) = 0

(-8*(x-((-2*2^(1/2)-16)/2))*(x-((2*2^(1/2)-16)/2)))/((x+8)^2) = 0

(-8*(x-((-2*2^(1/2)-16)/2))*(x-((2*2^(1/2)-16)/2)))/((x+8)^2) = 0 // * (x+8)^2

-8*(x-((-2*2^(1/2)-16)/2))*(x-((2*2^(1/2)-16)/2)) = 0

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

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

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

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

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

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

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

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