SOLUTION: Two consecutive positive even numbers are n and n+2. Write down an algebraic expression for the sum of their squares. Find the numbers if the sum is 165

Algebra ->  Square-cubic-other-roots -> SOLUTION: Two consecutive positive even numbers are n and n+2. Write down an algebraic expression for the sum of their squares. Find the numbers if the sum is 165      Log On


   

Question 1148306: Two consecutive positive even numbers are n and n+2. Write down an algebraic expression for the sum of their squares. Find the numbers if the sum is 165
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
n%5E2%2B%28n%2B2%29%5E2=165

n%5E2%2Bn%5E2%2B4n%2B4-165=0
2n%5E2%2B4n-161=0

n=%28-4%2B-+sqrt%2816%2B4%2A2%2A161%29%29%2F4

n=%28-4%2B-+sqrt%281304%29%29%2F4

n=%28-4%2B-+sqrt%282%2A2%2A2%2A163%29%29%2F4

n=-4%2B+sqrt%282%2A163%29
Not a positive even number.
The description does not work.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

If the numbers n and (n+2) are even integer numbers,  then their squares are even integer numbers, too, 

which implies that their sum is even integer number, bur 165 is not even integer number.


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