What is the answer to x^2-3+1/x =0 ?

The answer to x^2-3+1/x =0 is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…

Solve for x: x^2-3+1/x =0

The solution is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…

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x^{2} - 3 + \frac{1}{x} = 0

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

Solution steps

x^{2} - 3 + \frac{1}{x} = 0

Multiply both sides by

x

x^{3} - 3 x + 1 = 0

Solve

x^{3} - 3 x + 1 = 0 : x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

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

\frac{30}{x} - \frac{10}{5} = 3

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

\frac{2}{2 x + 1} = - \frac{3}{7}

\frac{8}{3 x} - \frac{1}{5 x} = 2

What is the answer to x^2-3+1/x =0 ?
The answer to x^2-3+1/x =0 is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…
Solve for x: x^2-3+1/x =0
The solution is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…