What is the answer to (x-5)/((x-1)^3)=0 ?

The answer to (x-5)/((x-1)^3)=0 is x=5

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(x-5)/((x-1)^3)=0

\frac{x - 5}{( x - 1 ) ^{3}} = 0

x = 5

Solution steps

\frac{x - 5}{( x - 1 ) ^{3}} = 0

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

x - 5 = 0

Move

5

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 5

x^{- 2} - 6 x^{- 1} + 8 = 0

\frac{11}{x - 5} = - \frac{3}{7 + 2 x}

\frac{3}{x} = \frac{x}{12}

\frac{4}{x} - 5 = \frac{18}{2 x}

\frac{9}{15} = \frac{3}{x}

What is the answer to (x-5)/((x-1)^3)=0 ?
The answer to (x-5)/((x-1)^3)=0 is x=5
Solve for x: (x-5)/((x-1)^3)=0
The solution is x=5