What is the answer to 1/x =x^2-7 ?

The answer to 1/x =x^2-7 is x\approx-0.14327…,x\approx-2.57120…,x\approx 2.71447…

Solve for x: 1/x =x^2-7

The solution is x\approx-0.14327…,x\approx-2.57120…,x\approx 2.71447…

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\frac{1}{x} = x^{2} - 7

x \approx - 0.14327 \dots, x \approx - 2.57120 \dots, x \approx 2.71447 \dots

Solution steps

\frac{1}{x} = x^{2} - 7

Multiply both sides by

x

1 = x^{3} - 7 x

Solve

1 = x^{3} - 7 x : x \approx - 0.14327 \dots, x \approx - 2.57120 \dots, x \approx 2.71447 \dots

x \approx - 0.14327 \dots, x \approx - 2.57120 \dots, x \approx 2.71447 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx - 0.14327 \dots, x \approx - 2.57120 \dots, x \approx 2.71447 \dots

x, x^{- 1} = y - 1

\frac{x - 5}{x + 8} = \frac{2}{7}

v, C = \frac{Q}{v}

\frac{x ^{4}}{x} = \frac{48}{24}

t, \frac{d}{t} = r

What is the answer to 1/x =x^2-7 ?
The answer to 1/x =x^2-7 is x\approx-0.14327…,x\approx-2.57120…,x\approx 2.71447…
Solve for x: 1/x =x^2-7
The solution is x\approx-0.14327…,x\approx-2.57120…,x\approx 2.71447…