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To find the number of roots of the equation `e^(x) = sqrt(-x)` ,we draw the graphs of `y = e^(x) and y = sqrt (-x)` and check the number of points of intersection. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_GRA_C02_S01_073_S01.png" width="80%"> <br> From the figure, there is only one point of intersection, hence only one root `x_(0)`.