Question: If the square a number is subtracted from the cube of that number, the result in 48. Then, the number is
Options:
A) 8
B) 5
C) 6
D) 4
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the number be x,
According to the question,
$ x^{3}-x^{2}=48 $
$ \Rightarrow $ $ x^{2}(x-1)=4^{2}(4-1) $
$ \Rightarrow $ $ x=4 $