Question

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.

$e^x=-x$

Short answer

The solution of the given equation is $-0.57$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$e^x=-x$

Step 2. Determine the solution by the graphing utility.

Plot the graphs of $y_1=e^x$and $y_2=-x$on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at $x\approx -0.567$. After rounding the value to two decimal places $x\approx -0.57$.

Step 3. Conclusion.

The solution of the given equation is $-0.57$.