Solve x x/x^2 = 3/x^2

Evaluate

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

Find the domain

More Steps

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

Simplify

More Steps

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

Swap the sides of the equation

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

Cross multiply

3 = x^{2}

Swap the sides of the equation

x^{2} = 3

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 3

Separate the equation into 2 possible cases

x = 3 x = - 3

Check if the solution is in the defined range

x = 3 x = - 3, x \neq = 0

Find the intersection of the solution and the defined range

x = 3 x = - 3

Solution

x_{1} = - 3, x_{2} = 3

Alternative Form

x_{1} \approx - 1.732051, x_{2} \approx 1.732051

Solve the equation