What is the answer to (1-x^{-1})/(1-x^{-8)}=0 ?

The answer to (1-x^{-1})/(1-x^{-8)}=0 is No Solution

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(1-x^{-1})/(1-x^{-8)}=0

\frac{1 - x ^{- 1}}{1 - x ^{- 8}} = 0

No Solution

Solution steps

\frac{1 - x ^{- 1}}{1 - x ^{- 8}} = 0

Refine

\frac{x ^{7}}{( x ^{2} + 2 x + 1 ) ( x ^{2} - 2 x + 1 ) ( x ^{2} + 1 ) ( x + 1 )} = 0

Simplify

\frac{x ^{7}}{( x ^{2} + 2 x + 1 ) ( x ^{2} - 2 x + 1 ) ( x ^{2} + 1 ) ( x + 1 )} : \frac{x ^{7}}{( x ^{4} + 1 ) ( x ^{2} + 1 ) ( x + 1 )}

\frac{x ^{7}}{( x ^{4} + 1 ) ( x ^{2} + 1 ) ( x + 1 )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x^{7} = 0

Solve

x^{7} = 0 : x = 0

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1, x = 0

Since the equation is undefined for:

0

No Solution

x, y - \frac{y}{x} = 1

x + \frac{28}{x} = - 11

\frac{- 2}{x - 2} = \frac{2}{x + 1}

\frac{5}{11} = \frac{9}{x}

1585 = \frac{25 - x}{x}

What is the answer to (1-x^{-1})/(1-x^{-8)}=0 ?
The answer to (1-x^{-1})/(1-x^{-8)}=0 is No Solution
Solve for x: (1-x^{-1})/(1-x^{-8)}=0
The solution is No Solution