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The sum of the squares of two consecutive positive even integers is 340. Find the integers.

Mathematics
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what number comes right after n?
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"
Positive**

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Other answers:

yes i know but what comes after n?
I don't know!
like for instance if i asked you: what comes after 1, you would say 1+1
if i said what comes after 2, you would say 2+1
if i said what comes after 3, you would say 3+1
So would it be n+n? or n+1??
I'm adding 1 to each of those not n
so n+1
n,n+1 these are consecutive positive numbers
of course we are assuming n is positive
now it says the sum of the squares of these numbers
those aren't numbers.. Those are letter o_O
so that means we will adding these numbers squares
Do you know the answer to this or what??
\[n^2+(n+1)^2=\] It says the sum of these squares =340 so what should come after that = sign?
I'm not gonna give you the answer
I will guide you
You need to solve this for n \[n^2+(n+1)^2=340 \]
Do you know how to solve this?
I got \[\chi \approx 12.5288 , -13.5288\]
Which is in no way the answer -__-
Your problem does not have integer solution.
@eliassaab is right
What do you mean?
that positive number 12.5288 is not an integer
Well duhh. That's why i need help??
wait your question said even?
I got the answer. its' 12 and 14. Thanks for the "help"
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?
why do you have to say it like that @DeaneNicole ? I was just trying to help
No no no no no no no no no i didn't mean it like that!! Sorry /:
Ok ok. Its all cool.
Alright.
I'm sorry I miss the word even
all those tiny words have meaning lol
You have to solve (2n)^2 + (2n+2)^2 =340 n =6 so 12 and 14
@eliassaab we already got it.
and @eliassaab this would have worked too \[n^2+(n+2)^2=340 \]
\[ 12^2+14^2=144+196=340 \]
Sorry, I did not see your post above @DeaneNicole

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