What is the answer to x=(x-4)/(x-9) ?

The answer to x=(x-4)/(x-9) is x=5+sqrt(21),x=5-sqrt(21)

Solve for x: x=(x-4)/(x-9)

The solution is x=5+sqrt(21),x=5-sqrt(21)

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x = \frac{x - 4}{x - 9}

x = 5 + 21, x = 5 - 21

Decimal Notation

x = 9.58257 \dots, x = 0.41742 \dots

Solution steps

x = \frac{x - 4}{x - 9}

Multiply both sides by

x - 9

x (x - 9) = x - 4

Solve

x (x - 9) = x - 4 : x = 5 + 21, x = 5 - 21

x = 5 + 21, x = 5 - 21

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 5 + 21, x = 5 - 21

1 - \frac{10}{x - 2} = - \frac{16}{x}

\frac{1}{2} = \frac{7}{L}

7 - \frac{1}{6 x} = \frac{10}{3 x}

32 = \frac{ln ( 2 )}{k}

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

What is the answer to x=(x-4)/(x-9) ?
The answer to x=(x-4)/(x-9) is x=5+sqrt(21),x=5-sqrt(21)
Solve for x: x=(x-4)/(x-9)
The solution is x=5+sqrt(21),x=5-sqrt(21)