What is the answer to (x-7)/(x+9)= 1/(x-2) ?

The answer to (x-7)/(x+9)= 1/(x-2) is x=5+2sqrt(5),x=5-2sqrt(5)

Solve for x: (x-7)/(x+9)= 1/(x-2)

The solution is x=5+2sqrt(5),x=5-2sqrt(5)

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\frac{x - 7}{x + 9} = \frac{1}{x - 2}

x = 5 + 25, x = 5 - 25

Decimal Notation

x = 9.47213 \dots, x = 0.52786 \dots

Solution steps

\frac{x - 7}{x + 9} = \frac{1}{x - 2}

Cross multiply

(x - 7) (x - 2) = x + 9

Solve

(x - 7) (x - 2) = x + 9 : x = 5 + 25, x = 5 - 25

x = 5 + 25, x = 5 - 25

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 2

Combine undefined points with solutions:

x = 5 + 25, x = 5 - 25

\frac{5}{2 y} = \frac{10}{5 y - 8}

\frac{x - 2}{x - 6} = - \frac{4}{x}

1 = \frac{3 x ^{2} - 2}{4 x + 2}

\frac{x ^{2} - 1}{x ^{2} - 9} = 0

\frac{x ^{3} + 2 x ^{4}}{x} = 0

What is the answer to (x-7)/(x+9)= 1/(x-2) ?
The answer to (x-7)/(x+9)= 1/(x-2) is x=5+2sqrt(5),x=5-2sqrt(5)
Solve for x: (x-7)/(x+9)= 1/(x-2)
The solution is x=5+2sqrt(5),x=5-2sqrt(5)