SOLUTION: the sum of the squares of six consecutive integers is 1111. what are the integers and what is the problem solving strategy?

Let consecutive the integers be , , , , , and 

Then we have the equation:







Collect terms:




 
Divide through by 6:



Factor:



Use the zero factor property:



So there are two solutions:

If ,  then the consecutive integers are

, , , , , and 

or

, , , , , and 

or

, , , , , and 

and if ,  then the consecutive integers are

, , , , , and 

or

, , , , , and 

or

, , , , , and 

Edwin