Question

Solve the equation: x3−4x=0 Enter any solution as an integer or reduced fraction (not a mixed number or decimal), using a comma if there is more than one solution. If there is no solution, click No solution. Suggestion: Check any solution(s) in the original equation before submitting answer.No solution

Answer 1

To solve this question, follow the steps below.

Step 01: Factor out "x".

Given:

`x^3-4x=0`

Since both terms have "x", you can factor out "x":

`x*(x^2-4)=0`

Step 02: Find the values of x.

In order to the result be zero, or x = 0, or (x² - 4) = 0.

First, do x = 0.

`x=0`

Second, do (x² - 4) = 0.

`x^2-4=0`

To find x, add 4 to both sides of the equation.

`\begin{gathered} x^2-4+4=0+4 \\ x^2=4 \end{gathered}`

And take the root of both sides.

`\begin{gathered} √(x^2)=\pm√(4) \\ x=\pm2 \end{gathered}`

Answer: x = -2, 0, 2.