16x-16=-1/x

Solution for 16x-16=-1/x equation:

D( x )

x = 0

x = 0

x = 0

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

16*x-16 = -1/x // + -1/x

16*x-(-1/x)-16 = 0

16*x+x^-1-16 = 0

16*x^1+1*x^-1-16*x^0 = 0

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

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

x^1

16*x^2-16*x+1 = 0

16*x^2-16*x+1 = 0

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

DELTA = 192

DELTA > 0

x = (192^(1/2)+16)/(2*16) or x = (16-192^(1/2))/(2*16)

x = (8*3^(1/2)+16)/32 or x = (16-8*3^(1/2))/32

x in { (16-8*3^(1/2))/32, (8*3^(1/2)+16)/32} 

x in { (16-8*3^(1/2))/32, (8*3^(1/2)+16)/32 }