Solve 1/x1 1/x^2=3

Evaluate

\frac{1}{x} \times (1 \times \frac{1}{x ^{2}}) = 3

Find the domain

More Steps

\frac{1}{x} \times (1 \times \frac{1}{x ^{2}}) = 3, x \neq = 0

Remove the parentheses

\frac{1}{x} \times 1 \times \frac{1}{x ^{2}} = 3

Multiply the terms

More Steps

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

Cross multiply

1 = x^{3} \times 3

Simplify the equation

1 = 3 x^{3}

Swap the sides of the equation

3 x^{3} = 1

Divide both sides

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

Divide the numbers

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

Take the 3 -th root on both sides of the equation

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

Calculate

x = 3 \frac{1}{3}

Simplify the root

More Steps

x = \frac{3 9}{3}

Check if the solution is in the defined range

x = \frac{3 9}{3}, x \neq = 0

Solution

x = \frac{3 9}{3}

Alternative Form

x \approx 0.693361

Solve the equation