## DeaneNicole Group Title The sum of the squares of two consecutive positive even integers is 340. Find the integers. 2 years ago 2 years ago

1. freckles Group Title

what number comes right after n?

2. DeaneNicole Group Title

That's the full question. That's all this test gave me. It says "The sum of the squares of two consecutive poistive even integers is 340. Find the Integers"

3. DeaneNicole Group Title

Positive**

4. freckles Group Title

yes i know but what comes after n?

5. DeaneNicole Group Title

I don't know!

6. freckles Group Title

like for instance if i asked you: what comes after 1, you would say 1+1

7. freckles Group Title

if i said what comes after 2, you would say 2+1

8. freckles Group Title

if i said what comes after 3, you would say 3+1

9. DeaneNicole Group Title

So would it be n+n? or n+1??

10. freckles Group Title

I'm adding 1 to each of those not n

11. freckles Group Title

so n+1

12. freckles Group Title

n,n+1 these are consecutive positive numbers

13. freckles Group Title

of course we are assuming n is positive

14. freckles Group Title

now it says the sum of the squares of these numbers

15. DeaneNicole Group Title

those aren't numbers.. Those are letter o_O

16. freckles Group Title

so that means we will adding these numbers squares

17. DeaneNicole Group Title

Do you know the answer to this or what??

18. freckles Group Title

$n^2+(n+1)^2=$ It says the sum of these squares =340 so what should come after that = sign?

19. freckles Group Title

I'm not gonna give you the answer

20. freckles Group Title

I will guide you

21. freckles Group Title

You need to solve this for n $n^2+(n+1)^2=340$

22. freckles Group Title

Do you know how to solve this?

23. DeaneNicole Group Title

I got $\chi \approx 12.5288 , -13.5288$

24. DeaneNicole Group Title

Which is in no way the answer -__-

25. eliassaab Group Title

Your problem does not have integer solution.

26. freckles Group Title

@eliassaab is right

27. DeaneNicole Group Title

What do you mean?

28. freckles Group Title

that positive number 12.5288 is not an integer

29. DeaneNicole Group Title

Well duhh. That's why i need help??

30. freckles Group Title

31. DeaneNicole Group Title

I got the answer. its' 12 and 14. Thanks for the "help"

32. freckles Group Title

So if 2 is the first even integer then what is the next even integer? 2,2+2 right? if 4 is the first even integer then what is the next even integer? 4,4+2 ----- we add 2 ----- if n is the first even integer, then what is the next even integer?

33. freckles Group Title

why do you have to say it like that @DeaneNicole ? I was just trying to help

34. DeaneNicole Group Title

No no no no no no no no no i didn't mean it like that!! Sorry /:

35. freckles Group Title

Ok ok. Its all cool.

36. DeaneNicole Group Title

Alright.

37. freckles Group Title

I'm sorry I miss the word even

38. freckles Group Title

all those tiny words have meaning lol

39. eliassaab Group Title

You have to solve (2n)^2 + (2n+2)^2 =340 n =6 so 12 and 14

40. DeaneNicole Group Title

41. freckles Group Title

and @eliassaab this would have worked too $n^2+(n+2)^2=340$

42. eliassaab Group Title

$12^2+14^2=144+196=340$

43. eliassaab Group Title

Sorry, I did not see your post above @DeaneNicole