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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
 one year ago
 one year ago
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
 one year ago
 one year ago

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myininayaBest ResponseYou've already chosen the best response.2
So have you expanded N first by doing (x13)(x13)?
 one year ago

myininayaBest ResponseYou've already chosen the best response.2
And then you will collect like terms for N and then you can factor it
 one year ago

Matt71Best ResponseYou've already chosen the best response.0
2x(x13) right? But for me the real problem is with the second and last number
 one year ago

myininayaBest ResponseYou've already chosen the best response.2
Where did the extra x come from?
 one year ago

myininayaBest ResponseYou've already chosen the best response.2
There is something missing though
 one year ago

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

myininayaBest ResponseYou've already chosen the best response.2
Gosh you are right Its late here
 one year ago

myininayaBest 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 ____?
 one year ago

Matt71Best ResponseYou've already chosen the best response.0
Eveeen ohohhhhh, of course, dang can't believe I missed that
 one year ago

himanshu31Best 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
 one year ago

himanshu31Best ResponseYou've already chosen the best response.1
sorry the eq is 2x(x13)..factors are 83 and 70
 one year ago

Matt71Best ResponseYou've already chosen the best response.0
Well, thanks to you guys, sorry I only got one medal to give
 one year ago
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