Question

Solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility.

2x² e^2x + 2xe^2x = 0

Answer 1

Step 1:

The equation is .

Rewrite the equation as .

Apply zero product property.

and

is never zero for any real number.

and .

and .

Graph the function:

Observe the graph:

The curve intersect the x -axis at and .

The solutions are .

Solution:

The solutions are .