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

The answer to x-30= 2/x+8/(x+1) is x\approx-0.05196…,x\approx-1.26941…,x\approx 30.32137…

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

The solution is x\approx-0.05196…,x\approx-1.26941…,x\approx 30.32137…

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

x \approx - 0.05196 \dots, x \approx - 1.26941 \dots, x \approx 30.32137 \dots

Solution steps

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

Multiply by LCM

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

Solve

x^{2} (x + 1) - 30 x (x + 1) = 2 (x + 1) + 8 x : x \approx - 0.05196 \dots, x \approx - 1.26941 \dots, x \approx 30.32137 \dots

x \approx - 0.05196 \dots, x \approx - 1.26941 \dots, x \approx 30.32137 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x \approx - 0.05196 \dots, x \approx - 1.26941 \dots, x \approx 30.32137 \dots

\frac{7}{2} = \frac{3}{x} - 4

\frac{1}{8} y^{4} = \frac{972}{y}

\frac{9}{x} = 0.7

\frac{2 x ^{2} - 18 x}{x} = 0

\frac{9}{x} - \frac{11}{x - 4} + 4 = 0

What is the answer to x-30= 2/x+8/(x+1) ?
The answer to x-30= 2/x+8/(x+1) is x\approx-0.05196…,x\approx-1.26941…,x\approx 30.32137…
Solve for x: x-30= 2/x+8/(x+1)
The solution is x\approx-0.05196…,x\approx-1.26941…,x\approx 30.32137…