Question

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

$e^x=x^2$

Short answer

The solution of the given equation is $-0.70$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$e^x=x^2$

Step 2. Determine the solution by the graphing utility.

Plot the graphs of $y_1=e^x$ and$y_2=x^2$ on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at $x\approx -0.703$. After rounding the value to two decimal places$x\approx -0.70$.

Step 3. Conclusion.

The solution of the given equation is $-0.70$.