The correct answer is:
Yes, because cubed roots can give two solutions.
While it is true that cubing a negative number will yield a negative result, it is also true that the equation x^3=−217 can have two different solutions: one positive and one negative. When you take the cube root of both sides of the equation, you will find both solutions.
Can the equation x^3=−217 yield a positive final solution? Why or why not?
No, because all cubed numbers yield negative solutions.
No, because you must cube a negative number to get a negative answer.
Yes, because multiplying three negatives together will equal a positive number.
Yes, because cubed roots can give two solutions.
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