anonymous
  • anonymous
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Mathematics
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anonymous
  • anonymous
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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freckles
  • freckles
what number comes right after n?
anonymous
  • anonymous
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"
anonymous
  • anonymous
Positive**

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

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