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

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frecklesBest ResponseYou've already chosen the best response.0
what number comes right after n?
 one year ago

DeaneNicoleBest 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"
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
yes i know but what comes after n?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
like for instance if i asked you: what comes after 1, you would say 1+1
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
if i said what comes after 2, you would say 2+1
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
if i said what comes after 3, you would say 3+1
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
So would it be n+n? or n+1??
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
I'm adding 1 to each of those not n
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
n,n+1 these are consecutive positive numbers
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
of course we are assuming n is positive
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
now it says the sum of the squares of these numbers
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
those aren't numbers.. Those are letter o_O
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
so that means we will adding these numbers squares
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
Do you know the answer to this or what??
 one year ago

frecklesBest 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?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
I'm not gonna give you the answer
 one year ago

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

frecklesBest ResponseYou've already chosen the best response.0
Do you know how to solve this?
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
I got \[\chi \approx 12.5288 , 13.5288\]
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
Which is in no way the answer __
 one year ago

eliassaabBest ResponseYou've already chosen the best response.0
Your problem does not have integer solution.
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
that positive number 12.5288 is not an integer
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
Well duhh. That's why i need help??
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
wait your question said even?
 one year ago

DeaneNicoleBest ResponseYou've already chosen the best response.1
I got the answer. its' 12 and 14. Thanks for the "help"
 one year ago

frecklesBest 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?
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
why do you have to say it like that @DeaneNicole ? I was just trying to help
 one year ago

DeaneNicoleBest 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 /:
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
I'm sorry I miss the word even
 one year ago

frecklesBest ResponseYou've already chosen the best response.0
all those tiny words have meaning lol
 one year ago

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

DeaneNicoleBest ResponseYou've already chosen the best response.1
@eliassaab we already got it.
 one year ago

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

eliassaabBest ResponseYou've already chosen the best response.0
\[ 12^2+14^2=144+196=340 \]
 one year ago

eliassaabBest ResponseYou've already chosen the best response.0
Sorry, I did not see your post above @DeaneNicole
 one year ago
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