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Matt71
Group Title
A number is expressed as N=(x^2169)+(x13)^2
1. Factorise (x^2169)+(x13)^2 completely
2. Explain why N is an even number for any value of x
3. Hence, given that N=(83^2169)+70^2, without evaluating for N, find the 2 factors of N which are between 10 and 100
 2 years ago
 2 years ago
Matt71 Group Title
A number is expressed as N=(x^2169)+(x13)^2 1. Factorise (x^2169)+(x13)^2 completely 2. Explain why N is an even number for any value of x 3. Hence, given that N=(83^2169)+70^2, without evaluating for N, find the 2 factors of N which are between 10 and 100
 2 years ago
 2 years ago

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myininaya Group TitleBest ResponseYou've already chosen the best response.2
So have you expanded N first by doing (x13)(x13)?
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
And then you will collect like terms for N and then you can factor it
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
completely!
 2 years ago

Matt71 Group TitleBest ResponseYou've already chosen the best response.0
2x(x13) right? But for me the real problem is with the second and last number
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Where did the extra x come from?
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
wait sorry
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
There is something missing though
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
\[x^2169+(x13)^2\] \[x^2169+(x^22(13)x+169)\] Is this what you did?
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Gosh you are right Its late here
 2 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Ok So you have 2x(x13) And it has the factors 2, x, x13 Since it has the factor 2 , then that means N is divisble by 2 which means that N is ____?
 2 years ago

Matt71 Group TitleBest ResponseYou've already chosen the best response.0
Eveeen ohohhhhh, of course, dang can't believe I missed that
 2 years ago

himanshu31 Group TitleBest ResponseYou've already chosen the best response.1
first two parts have been explained by @myininaya for the last part put x=83 in 2x(x+13) u get 2*83*96..this means two factors are 83 and 96
 2 years ago

himanshu31 Group TitleBest ResponseYou've already chosen the best response.1
sorry the eq is 2x(x13)..factors are 83 and 70
 2 years ago

Matt71 Group TitleBest ResponseYou've already chosen the best response.0
Well, thanks to you guys, sorry I only got one medal to give
 2 years ago
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