X+16=(1/(X-8))

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Solution for X+16=(1/(X-8)) equation: 


D( X )

X-8 = 0

X-8 = 0

X-8 = 0

X-8 = 0 // + 8

X = 8

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

X+16 = 1/(X-8) // - 1/(X-8)

X-(1/(X-8))+16 = 0

X-(X-8)^-1+16 = 0

X-1/(X-8)+16 = 0

(X*(X-8))/(X-8)-1/(X-8)+(16*(X-8))/(X-8) = 0

X*(X-8)+16*(X-8)-1 = 0

X^2-8*X+16*X-128-1 = 0

X^2+8*X-129 = 0

X^2+8*X-129 = 0

X^2+8*X-129 = 0

DELTA = 8^2-(-129*1*4)

DELTA = 580

DELTA > 0

X = (580^(1/2)-8)/(1*2) or X = (-580^(1/2)-8)/(1*2)

X = (2*145^(1/2)-8)/2 or X = (-2*145^(1/2)-8)/2

(X-((-2*145^(1/2)-8)/2))*(X-((2*145^(1/2)-8)/2)) = 0

((X-((-2*145^(1/2)-8)/2))*(X-((2*145^(1/2)-8)/2)))/(X-8) = 0

((X-((-2*145^(1/2)-8)/2))*(X-((2*145^(1/2)-8)/2)))/(X-8) = 0 // * X-8

(X-((-2*145^(1/2)-8)/2))*(X-((2*145^(1/2)-8)/2)) = 0

( X-((-2*145^(1/2)-8)/2) )

X-((-2*145^(1/2)-8)/2) = 0 // + (-2*145^(1/2)-8)/2

X = (-2*145^(1/2)-8)/2

( X-((2*145^(1/2)-8)/2) )

X-((2*145^(1/2)-8)/2) = 0 // + (2*145^(1/2)-8)/2

X = (2*145^(1/2)-8)/2

X in { (-2*145^(1/2)-8)/2, (2*145^(1/2)-8)/2 }

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