Question

Which two integers is square root 102 between? please help

Answer 1

-50 and -52

Explanation:

An even number can be generally expressed by 2n. So the sum of an even and its consecutive it's expressed by 2n+2n+2 this must be equal to -102. So we have to solve the nearly trivial equation 4n+2=−102 that solved gives n=−26. This means that the two numbers are

2⋅(−26)=−52 and 2⋅(−26)+2=−50