SOLUTION: please help me solve this: the sum of the cubes of two consecutive numbers is one more than a perfect cube. what are these two numbers

SOLUTION: please help me solve this: the sum of the cubes of two consecutive numbers is one more than a perfect cube. what are these two numbers

Algebra.Com

Question 760026: please help me solve this: the sum of the cubes of two consecutive numbers is one more than a perfect cube. what are these two numbers
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!

which gives us...

This number is to be 1 more than a perfect cube i.e.

We only have one equation so are algebra methods end here.

By trial and error n=1

RELATED QUESTIONS
Hi can you please help me with these two problems- what is the difference between the... (answered by solver91311)

What is the relation between the sum of the cubes of two numbers and cube of the sum of... (answered by Theo)

Please help me to get how to solve this problem. Thank you! Here it is... There are... (answered by scott8148)

Please help me solve this word problem: Two consecutive integers have a sum of 327.... (answered by Alan3354)

Please help me solve this question : The sum of two numbers is 97. The larger number... (answered by dabanfield)

Can you please help me with this problem: The sum of two numbers is four and their... (answered by ankor@dixie-net.com)

Please help me solve this equation the sum of two consecutive odd number is 32 and their (answered by ikleyn)

The sum of cube root of two numbers is 128,while the sum of the reciprocals of their... (answered by mananth,ikleyn)

Pls help me with this qn: One thousand cubes are arranged to form a large cube. All the... (answered by checkley71)