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91Ó°ÊÓ

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

ex=x3

Short Answer

Expert verified

The solutions of the given equation are 1.86 and 4.54.

Step by step solution

01

Step 1. Given information.

The given equation is:

ex=x3

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=ex andy2=x3 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≈1.857 and x≈4.536. After rounding the value to two decimal placesx≈1.86 and x≈4.54.

03

Step 3. Conclusion.

The solutions of the given equation are 1.86 and 4.54.

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