- #1
chevyboy86
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is there a number that is exactly one more than its cube?
chevyboy86 said:is there a number that is exactly one more than its cube?
radou said:Take some number a. Its cube is a^3. Let b = a^3 + 1. But b^3 = (a^3 + 1)^3. So, no, it doesn't.
The number that is exactly one more than its cube is 9. This can be calculated by taking the cube root of 10 and adding 1.
This number is unique. There are no other numbers that are exactly one more than their cubes.
This number can be expressed as a decimal. It is approximately 2.08.
This number is a decimal. It is not an integer.
The number 9 is the cube of its cube root, which is 10. This can be represented by the equation 10^3 = 1000, and 1000 + 1 = 1001, which is one more than its cube.