What is the answer to x^2-2x-3=(x+4)/(x-1)-5 ?

The answer to x^2-2x-3=(x+4)/(x-1)-5 is x\approx 2.70997…

Solve for x: x^2-2x-3=(x+4)/(x-1)-5

The solution is x\approx 2.70997…

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x^{2} - 2 x - 3 = \frac{x + 4}{x - 1} - 5

x \approx 2.70997 \dots

Solution steps

x^{2} - 2 x - 3 = \frac{x + 4}{x - 1} - 5

Move

3

to the right side

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

Multiply both sides by

x - 1

x^{2} (x - 1) - 2 x (x - 1) = x + 4 - 2 (x - 1)

Solve

x^{2} (x - 1) - 2 x (x - 1) = x + 4 - 2 (x - 1) : x \approx 2.70997 \dots

x \approx 2.70997 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x \approx 2.70997 \dots

4 = \frac{8}{x}

1 + \frac{1}{x + 1} = 0

\frac{2}{c - 5} = \frac{8}{9}

\frac{3 ( 7 n + 13 )}{12 n + 15} = 2

π = \frac{2 π}{x}

What is the answer to x^2-2x-3=(x+4)/(x-1)-5 ?
The answer to x^2-2x-3=(x+4)/(x-1)-5 is x\approx 2.70997…
Solve for x: x^2-2x-3=(x+4)/(x-1)-5
The solution is x\approx 2.70997…