Answer
$x \approx -0.89$ and $x\approx 0.71$
Work Step by Step
To solve the given equation by graphing using a graphing device, let each side of the equation represent a function to obtain:
$y=e^{x^2}-2$ and $y=x^3-x$
To find the solution/s, perform the following steps:
(1) Graph both functions on the same coordinate plane.
(refer to the image below for the graph)
(2) Identify the point/s that are common to both graphs.
The x-coordinate of these points are the solutions to the given equation since they satisfy both functions.
Note that the graphs share the common point/s:
$(-0.886, 0.191)$ and $(0.706, -0.354)$
Therefore, the solution to the given equation rounded-off to two decimal places is/are:
$x \approx -0.89$ and $x\approx 0.71$
