Can the equation x3 = -217 yield a

Question

positive final solution? Why or why not?
(1 point)
No, because all cubed numbers yield negative solutions.
Yes, because cubed roots can give two solutions.
No, because you must cube a
O negative number to get a negative
answer.
Yes, because multiplying three
• negatives together will equal a positive number.

Answer 1

The correct answer is:

No, because you must cube a negative number to get a negative answer.

Explanation: The equation \( x^3 = -217 \) implies that \( x \) is the cube root of \(-217\). When a negative number is cubed, the result is negative. Since the left-hand side of the equation yields a negative result, the only solution for \( x \) must also be negative. Thus, there cannot be a positive final solution.