Question

Is there a number that is exactly 4 more than its cube?

Answer 1

No, there is no number that is exactly 4 more than its cube.

Step-by-step explanation:

The question is asking whether there is a number that is exactly 4 more than its cube. To solve this, we can set up the equation:
`x = x^3 + 4`. We can solve this equation by subtracting
`x^3` from both sides and then subtracting 4 from both sides, which gives us
`x^3 - x - 4 = 0`.

This is a cubic equation, and it can be difficult to solve without the use of a graphing calculator or computer program. However, using a calculator or program, we can find that there is no integer solution to this equation. Therefore, there is no number that is exactly 4 more than its cube.