Solve 0= 2x*(x^2-3)/(x^2 1)^3

Evaluate

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

Find the domain

More Steps

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

Simplify

More Steps

0 = \frac{2 ( x ^{2} - 3 )}{x ^{5}}

Swap the sides of the equation

\frac{2 ( x ^{2} - 3 )}{x ^{5}} = 0

Cross multiply

2 (x^{2} - 3) = x^{5} \times 0

Simplify the equation

2 (x^{2} - 3) = 0

Rewrite the expression

x^{2} - 3 = 0

Move the constant to the right side

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