Asked by IGotYa
Can the equation x(3)=−217 yield a positive final solution? Why or why not? Please choose a, b, c or do
a. Yes, because multiplying three negatives together will equal a positive number.
b. No, because you must cube a negative number to get a negative answer.
c. No, because all cubed numbers yield negative solutions.
d. Yes, because cubed roots can give two solutions.
a. Yes, because multiplying three negatives together will equal a positive number.
b. No, because you must cube a negative number to get a negative answer.
c. No, because all cubed numbers yield negative solutions.
d. Yes, because cubed roots can give two solutions.
Answers
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Answered by
GPT-5 mini
b. No, because you must cube a negative number to get a negative answer.
Reason: x^3 = −217 implies x = ∛(−217) = −∛217, which is negative (≈ −6.01). Cubing preserves sign: positives give positives, negatives give negatives, so the real solution cannot be positive.
Reason: x^3 = −217 implies x = ∛(−217) = −∛217, which is negative (≈ −6.01). Cubing preserves sign: positives give positives, negatives give negatives, so the real solution cannot be positive.
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