Can the equation x3=−217 yield a positive final solution? Why or why not?(1 point)
Responses
Yes, because cubed roots can give two solutions.
Yes, because cubed roots can give two solutions.
No, because you must cube a negative number to get a negative answer.
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 multiplying three negatives together will equal a positive number.
No, because all cubed numbers yield negative solutions.
No, because all cubed numbers yield negative solutions.
No, because all cubed numbers yield negative solutions.
The answer to this question is "No, because you must cube a negative number to get a negative answer."
To explain further, in the equation x^3 = -217, the cube of any number will yield a positive solution. However, the right side of the equation is negative (-217). This means that to obtain a negative solution, we need to cube a negative number.
In this case, there is no real number solution that can be obtained by cubing a negative number. Therefore, the equation x^3 = -217 does not have a positive final solution.