What is the answer to (x^2-9)/(x^2-25)=x+1 ?

The answer to (x^2-9)/(x^2-25)=x+1 is x\approx-0.65103…,x\approx-4.64259…,x\approx 5.29362…

Solve for x: (x^2-9)/(x^2-25)=x+1

The solution is x\approx-0.65103…,x\approx-4.64259…,x\approx 5.29362…

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\frac{x ^{2} - 9}{x ^{2} - 25} = x + 1

x \approx - 0.65103 \dots, x \approx - 4.64259 \dots, x \approx 5.29362 \dots

Solution steps

\frac{x ^{2} - 9}{x ^{2} - 25} = x + 1

Multiply both sides by

x^{2} - 25

x^{2} - 9 = x (x^{2} - 25) + x^{2} - 25

Solve

x^{2} - 9 = x (x^{2} - 25) + x^{2} - 25 : x \approx - 0.65103 \dots, x \approx - 4.64259 \dots, x \approx 5.29362 \dots

x \approx - 0.65103 \dots, x \approx - 4.64259 \dots, x \approx 5.29362 \dots

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 5

Combine undefined points with solutions:

x \approx - 0.65103 \dots, x \approx - 4.64259 \dots, x \approx 5.29362 \dots

\frac{2}{( x - 1 )} = x

\frac{10}{x} - \frac{12}{x - 3} = - 4

4 x^{- 2} - 15 x^{- 1} - 4 = 0

\frac{2}{2 x - 1} = \frac{- 2}{5 x + 3}

- \frac{2}{7} = \frac{6}{x}

What is the answer to (x^2-9)/(x^2-25)=x+1 ?
The answer to (x^2-9)/(x^2-25)=x+1 is x\approx-0.65103…,x\approx-4.64259…,x\approx 5.29362…
Solve for x: (x^2-9)/(x^2-25)=x+1
The solution is x\approx-0.65103…,x\approx-4.64259…,x\approx 5.29362…