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

The answer to x+(1-x^2)= x/(1-x^2) is x\approx 0.67104…,x\approx 1.90516…

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

The solution is x\approx 0.67104…,x\approx 1.90516…

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

x \approx 0.67104 \dots, x \approx 1.90516 \dots

Solution steps

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

Multiply both sides by

1 - x^{2}

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

Solve

x (1 - x^{2}) + (1 - x^{2})^{2} = x : x \approx 0.67104 \dots, x \approx 1.90516 \dots

x \approx 0.67104 \dots, x \approx 1.90516 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x \approx 0.67104 \dots, x \approx 1.90516 \dots

\frac{14}{x} = 26

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

(x)^{- 1} = \frac{( x + 5 )}{( 9 x + 1 )}

\frac{- 4}{r + 9} = \frac{7}{- 2}

x, f = \frac{1}{x}

What is the answer to x+(1-x^2)= x/(1-x^2) ?
The answer to x+(1-x^2)= x/(1-x^2) is x\approx 0.67104…,x\approx 1.90516…
Solve for x: x+(1-x^2)= x/(1-x^2)
The solution is x\approx 0.67104…,x\approx 1.90516…