What is the answer to 30+x= 2/x+8/(x+1) ?

The answer to 30+x= 2/x+8/(x+1) is x\approx 0.08797…,x\approx-0.74936…,x\approx-30.33860…

Solve for x: 30+x= 2/x+8/(x+1)

The solution is x\approx 0.08797…,x\approx-0.74936…,x\approx-30.33860…

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30 + x = \frac{2}{x} + \frac{8}{x + 1}

x \approx 0.08797 \dots, x \approx - 0.74936 \dots, x \approx - 30.33860 \dots

Solution steps

30 + x = \frac{2}{x} + \frac{8}{x + 1}

Multiply by LCM

30 x (x + 1) + x^{2} (x + 1) = 2 (x + 1) + 8 x

Solve

30 x (x + 1) + x^{2} (x + 1) = 2 (x + 1) + 8 x : x \approx 0.08797 \dots, x \approx - 0.74936 \dots, x \approx - 30.33860 \dots

x \approx 0.08797 \dots, x \approx - 0.74936 \dots, x \approx - 30.33860 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x \approx 0.08797 \dots, x \approx - 0.74936 \dots, x \approx - 30.33860 \dots

\frac{9 - 5}{1 - x} = 2

\frac{( x - 4 ) ( x - 7 )}{x - 4} = 0

\frac{17 + x}{x + 2} = 3

- \frac{9}{x ^{2}} + 1 = 0

\frac{x}{x + 5} = \frac{6}{5}

What is the answer to 30+x= 2/x+8/(x+1) ?
The answer to 30+x= 2/x+8/(x+1) is x\approx 0.08797…,x\approx-0.74936…,x\approx-30.33860…
Solve for x: 30+x= 2/x+8/(x+1)
The solution is x\approx 0.08797…,x\approx-0.74936…,x\approx-30.33860…