X+16=(1/X-8)

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

D( X )

X = 0

X = 0

X = 0

X in (-oo:0) U (0:+oo)

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

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

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

1*X^1-1*X^-1+24*X^0 = 0

(1*X^2+24*X^1-1*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2+24*X^1-1*X^0) = 0

X^1

X^2+24*X-1 = 0

X^2+24*X-1 = 0

DELTA = 24^2-(-1*1*4)

DELTA = 580

DELTA > 0

X = (580^(1/2)-24)/(1*2) or X = (-580^(1/2)-24)/(1*2)

X = (2*145^(1/2)-24)/2 or X = (-2*145^(1/2)-24)/2

X in { (-2*145^(1/2)-24)/2, (2*145^(1/2)-24)/2} 

X in { (-2*145^(1/2)-24)/2, (2*145^(1/2)-24)/2 }