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.

1 answer

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.