What is the answer to 2x^2+3x-8=x^{-1} ?

The answer to 2x^2+3x-8=x^{-1} is x\approx-0.12002…,x\approx 1.46447…,x\approx-2.84444…

Solve for x: 2x^2+3x-8=x^{-1}

The solution is x\approx-0.12002…,x\approx 1.46447…,x\approx-2.84444…

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2 x^{2} + 3 x - 8 = x^{- 1}

x \approx - 0.12002 \dots, x \approx 1.46447 \dots, x \approx - 2.84444 \dots

Solution steps

2 x^{2} + 3 x - 8 = x^{- 1}

Refine

2 x^{2} + 3 x - 8 = \frac{1}{x}

Multiply both sides by

x

2 x^{3} + 3 x^{2} - 8 x = 1

Solve

2 x^{3} + 3 x^{2} - 8 x = 1 : x \approx - 0.12002 \dots, x \approx 1.46447 \dots, x \approx - 2.84444 \dots

x \approx - 0.12002 \dots, x \approx 1.46447 \dots, x \approx - 2.84444 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx - 0.12002 \dots, x \approx 1.46447 \dots, x \approx - 2.84444 \dots

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

5 a = \frac{( 7 a - 4 )}{( a - 3 )}

\frac{3 x}{x + 1} = 2

\frac{3}{3 - x} = 1 - \frac{3}{x}

\frac{3}{x} - \frac{5}{x + 2} = 2

What is the answer to 2x^2+3x-8=x^{-1} ?
The answer to 2x^2+3x-8=x^{-1} is x\approx-0.12002…,x\approx 1.46447…,x\approx-2.84444…
Solve for x: 2x^2+3x-8=x^{-1}
The solution is x\approx-0.12002…,x\approx 1.46447…,x\approx-2.84444…