Answer
x = 0.208, 1.971
Work Step by Step
Solve for x
$ 4 - x^2 = e^{-2x}$
Use a graph in which $f(x) = 4 - x^2$ and $g(x) = e^{-2x}$
The intersection is at (0.208, 3.957) and (1.971, 0.117)
Thus x = 0.208, 1.971
Graph is below.
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