What is the answer to (9x)/(x+5)-1/x =1 ?

The answer to (9x)/(x+5)-1/x =1 is x= 5/4 ,x=-1/2

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(9x)/(x+5)-1/x =1

\frac{9 x}{x + 5} - \frac{1}{x} = 1

x = \frac{5}{4}, x = - \frac{1}{2}

Solution steps

\frac{9 x}{x + 5} - \frac{1}{x} = 1

Multiply by LCM

9 x^{2} - (x + 5) = x (x + 5)

Solve

9 x^{2} - (x + 5) = x (x + 5) : x = \frac{5}{4}, x = - \frac{1}{2}

x = \frac{5}{4}, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 0

Combine undefined points with solutions:

x = \frac{5}{4}, x = - \frac{1}{2}

\frac{2 x}{x + 1} + x = 3

x^{- 2} = 36

x, y = \frac{3}{x} + 2

\frac{2}{X} = \frac{X}{32}

\frac{3}{x - 7} = \frac{4}{x - 5}

What is the answer to (9x)/(x+5)-1/x =1 ?
The answer to (9x)/(x+5)-1/x =1 is x= 5/4 ,x=-1/2
Solve for x: (9x)/(x+5)-1/x =1
The solution is x= 5/4 ,x=-1/2