X+1/x-1=6/x

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Solution for X+1/x-1=6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

X+1/x-1 = 6/x // - 6/x

X+1/x-(6/x)-1 = 0

X+1/x-6*x^-1-1 = 0

-5*x^-1 = -(X-1) // : -5

x^-1 = (1-X)/(-5)

-1 < 0

1/(x^1) = (1-X)/(-5) // * x^1

1 = x^1*((1-X)/(-5)) // : (1-X)/(-5)

-5*(1-X)^-1 = x^1

x = -5*(1-X)^-1

x = -5*(1-X)^-1

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