Question

Approximate the solution to$x^3-2x+2=0$ using a graphing utility.

Short answer

The solution of the equation is $\{-1.77\}.$

Step-by-step solution

Step 1. Given information

$\text{Thegivenequationis}{x}^3-2x+2=0$.

We have to find the solution of the given equation using the graphing utility.

Step 2. plot the graph using the graphing utility.

Enter the equation $x^3-2x+2=0$in the graphing tool. The below-shown graph will be obtained.

Step 3. Finding the solution

Note the point where the graph intersects the x-axis. The point of intersection on the x-axis is the required solution.

Step 4. Conclusion

The solution of the given equation is {-1.77}.