Solve and check your solution(s). If the equation has no real solution, so state.
-
A) - 6561
B) 9
C) 6561
D) no real solution

Question

Solve and check your solution(s). If the equation has no real solution, so state.
-
A) - 6561 
B) 9 
C) 6561 
D) no real solution

Quizplus · Accepted Answer

Taking the cube root of any number results in either a real number or a complex number. Therefore, the equation $x^3=6561$ has only one real solution: $\sqrt[3]{6561}=27$. However, none of the answer choices are 27, so the equation has no real solution. Therefore, the best choice is D.

Solve and Check Your Solution(s)