The real solutions to the equation x to the 5th power minus x to the 4th power plus 15 x cubed minus 33 x squared minus 250 x is equal to 200 are shown on the graph. What are the nonreal solutions?

Move 200 to the left to get x⁵ − x⁴ + 15x³ − 33x² − 250x − 200 = 0. Factoring gives (x + 1)(x − 4)x(x + 2)(x² + 25) = 0. The factor x² + 25 = 0 gives x² = −25, so the nonreal solutions are −5i and 5i, choice D.

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