What is the answer to ((x+1)/x)^2-2((x-1)/(x+4))=11 ?

The answer to ((x+1)/x)^2-2((x-1)/(x+4))=11 is x\approx-0.23719…,x\approx 0.43892…,x\approx-3.20173…

Solve for x: ((x+1)/x)^2-2((x-1)/(x+4))=11

The solution is x\approx-0.23719…,x\approx 0.43892…,x\approx-3.20173…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\frac{x + 1}{x})^{2} - 2 (\frac{x - 1}{x + 4}) = 11

x \approx - 0.23719 \dots, x \approx 0.43892 \dots, x \approx - 3.20173 \dots

Solution steps

(\frac{x + 1}{x})^{2} - 2 (\frac{x - 1}{x + 4}) = 11

Multiply by LCM

(x + 1)^{2} (x + 4) - 2 x^{2} (x - 1) = 11 x^{2} (x + 4)

Solve

(x + 1)^{2} (x + 4) - 2 x^{2} (x - 1) = 11 x^{2} (x + 4) : x \approx - 0.23719 \dots, x \approx 0.43892 \dots, x \approx - 3.20173 \dots

x \approx - 0.23719 \dots, x \approx 0.43892 \dots, x \approx - 3.20173 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x \approx - 0.23719 \dots, x \approx 0.43892 \dots, x \approx - 3.20173 \dots

a, \frac{1}{a} + \frac{1}{b} = \frac{5}{6}

\frac{x ^{2} + 3 x - 20}{x ^{2} + 3 x} = 8

\frac{a}{( x - b )} + \frac{b}{( x - a )} = 2

\frac{( n + 2 ) !}{n !} = 6

x, \frac{x ^{5}}{y ^{5}} + \frac{y ^{5}}{x ^{5}} = 2525

What is the answer to ((x+1)/x)^2-2((x-1)/(x+4))=11 ?
The answer to ((x+1)/x)^2-2((x-1)/(x+4))=11 is x\approx-0.23719…,x\approx 0.43892…,x\approx-3.20173…
Solve for x: ((x+1)/x)^2-2((x-1)/(x+4))=11
The solution is x\approx-0.23719…,x\approx 0.43892…,x\approx-3.20173…