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

The answer to x^2+(x/(x-1))^2=1 is x\approx 0.46898…,x\approx-0.88320…

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

The solution is x\approx 0.46898…,x\approx-0.88320…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x \approx 0.46898 \dots, x \approx - 0.88320 \dots

Solution steps

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

Simplify

(\frac{x}{x - 1})^{2} : \frac{x ^{2}}{( x - 1 ) ^{2}}

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

Multiply both sides by

(x - 1)^{2}

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

Solve

x^{2} (x - 1)^{2} + x^{2} = (x - 1)^{2} : x \approx 0.46898 \dots, x \approx - 0.88320 \dots

x \approx 0.46898 \dots, x \approx - 0.88320 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x \approx 0.46898 \dots, x \approx - 0.88320 \dots

\frac{x - 3}{x + 5} = \frac{4}{6}

0 = \frac{x ^{2} - 16 x}{( x - 8 ) ^{2}}

\frac{x}{( 200 + x )} = 0.08

\frac{x ^{2} - 6 x + 8}{x - 2} = 0

\frac{5}{13.1} = \frac{14.6}{x}

What is the answer to x^2+(x/(x-1))^2=1 ?
The answer to x^2+(x/(x-1))^2=1 is x\approx 0.46898…,x\approx-0.88320…
Solve for x: x^2+(x/(x-1))^2=1
The solution is x\approx 0.46898…,x\approx-0.88320…