What is the answer to (x(x-5))/(x^2-9)=1 ?

The answer to (x(x-5))/(x^2-9)=1 is x= 9/5

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(x(x-5))/(x^2-9)=1

\frac{x ( x - 5 )}{x ^{2} - 9} = 1

x = \frac{9}{5}

Decimal Notation

x = 1.8

Solution steps

\frac{x ( x - 5 )}{x ^{2} - 9} = 1

Multiply both sides by

x^{2} - 9

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

Expand

x (x - 5) : x^{2} - 5 x

x^{2} - 5 x = x^{2} - 9

Move

x^{2}

to the left side

- 5 x = - 9

Divide both sides by

- 5

x = \frac{9}{5}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x = \frac{9}{5}

10 + \frac{4}{y ^{2}} = 1

\frac{x + 5}{x + 1} = \frac{3}{x}

1 - \frac{3}{x} = \frac{10}{x ^{2}}

\frac{30}{j} = \frac{26}{39}

2 = - 2 + \frac{4}{x ^{2}}

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