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

The answer to (x^2-2)/((x-1))=(1-2(x+1))/(x^2-1) is x\approx 0.75487…

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

The solution is x\approx 0.75487…

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

x \approx 0.75487 \dots

Solution steps

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

Cross multiply

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

Solve

(x^{2} - 2) (x^{2} - 1) = (x - 1) (- 2 x - 1) : x = 1, x \approx 0.75487 \dots

x = 1, x \approx 0.75487 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Since the equation is undefined for:

1

x \approx 0.75487 \dots

\frac{- 5}{7 \cdot x - 2} = 0

x + 3 = x (\frac{3}{x}) - 5 x

\frac{1}{( ( x - 1 ) ( x - 2 ) )} + \frac{1}{( ( x - 2 ) ( x - 3 ) )} = \frac{2}{3}

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

\frac{( 4 x )}{( 3 \cdot 4 \cdot 1 0 ^{4} - x )} = 4.45 \cdot 1 0^{- 7}

What is the answer to (x^2-2)/((x-1))=(1-2(x+1))/(x^2-1) ?
The answer to (x^2-2)/((x-1))=(1-2(x+1))/(x^2-1) is x\approx 0.75487…
Solve for x: (x^2-2)/((x-1))=(1-2(x+1))/(x^2-1)
The solution is x\approx 0.75487…