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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
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

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freckles Group TitleBest ResponseYou've already chosen the best response.0
what number comes right after n?
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
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"
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
Positive**
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
yes i know but what comes after n?
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
I don't know!
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
like for instance if i asked you: what comes after 1, you would say 1+1
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
if i said what comes after 2, you would say 2+1
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
if i said what comes after 3, you would say 3+1
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
So would it be n+n? or n+1??
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
I'm adding 1 to each of those not n
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
n,n+1 these are consecutive positive numbers
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
of course we are assuming n is positive
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
now it says the sum of the squares of these numbers
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
those aren't numbers.. Those are letter o_O
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
so that means we will adding these numbers squares
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
Do you know the answer to this or what??
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
\[n^2+(n+1)^2=\] It says the sum of these squares =340 so what should come after that = sign?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
I'm not gonna give you the answer
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
I will guide you
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
You need to solve this for n \[n^2+(n+1)^2=340 \]
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
Do you know how to solve this?
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
I got \[\chi \approx 12.5288 , 13.5288\]
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
Which is in no way the answer __
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
Your problem does not have integer solution.
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
@eliassaab is right
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
What do you mean?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
that positive number 12.5288 is not an integer
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
Well duhh. That's why i need help??
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
wait your question said even?
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
I got the answer. its' 12 and 14. Thanks for the "help"
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
why do you have to say it like that @DeaneNicole ? I was just trying to help
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
No no no no no no no no no i didn't mean it like that!! Sorry /:
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
Ok ok. Its all cool.
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
Alright.
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
I'm sorry I miss the word even
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
all those tiny words have meaning lol
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
You have to solve (2n)^2 + (2n+2)^2 =340 n =6 so 12 and 14
 2 years ago

DeaneNicole Group TitleBest ResponseYou've already chosen the best response.1
@eliassaab we already got it.
 2 years ago

freckles Group TitleBest ResponseYou've already chosen the best response.0
and @eliassaab this would have worked too \[n^2+(n+2)^2=340 \]
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
\[ 12^2+14^2=144+196=340 \]
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.0
Sorry, I did not see your post above @DeaneNicole
 2 years ago
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