What is the answer to x^3-3x^2-4= 1/(x-1)+5 ?

The answer to x^3-3x^2-4= 1/(x-1)+5 is x\approx 0.90672…,x\approx 3.68875…

Solve for x: x^3-3x^2-4= 1/(x-1)+5

The solution is x\approx 0.90672…,x\approx 3.68875…

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x^{3} - 3 x^{2} - 4 = \frac{1}{x - 1} + 5

x \approx 0.90672 \dots, x \approx 3.68875 \dots

Solution steps

x^{3} - 3 x^{2} - 4 = \frac{1}{x - 1} + 5

Move

4

to the right side

x^{3} - 3 x^{2} = \frac{1}{x - 1} + 9

Multiply both sides by

x - 1

x^{3} (x - 1) - 3 x^{2} (x - 1) = 1 + 9 (x - 1)

Solve

x^{3} (x - 1) - 3 x^{2} (x - 1) = 1 + 9 (x - 1) : x \approx 0.90672 \dots, x \approx 3.68875 \dots

x \approx 0.90672 \dots, x \approx 3.68875 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x \approx 0.90672 \dots, x \approx 3.68875 \dots

4 = \frac{12}{x - 1}

\frac{1}{2 m} = 9

\frac{100}{324} = \frac{31}{x}

\frac{80}{x} = \frac{40}{100}

1 + 0.1 = (1 - d)^{- 1}

What is the answer to x^3-3x^2-4= 1/(x-1)+5 ?
The answer to x^3-3x^2-4= 1/(x-1)+5 is x\approx 0.90672…,x\approx 3.68875…
Solve for x: x^3-3x^2-4= 1/(x-1)+5
The solution is x\approx 0.90672…,x\approx 3.68875…