Show that if and then I got started and have Let c=ae and c=bd where d and e are integers. c=ae=bd and a and b are not equal then e=b and d=a thus where the result would be 1. I am pretty sure my logic is really messed up though.
Follow Math Help Forum on Facebook and Google+
Originally Posted by diddledabble Show that if and then
I forgot to add that gcd (a,b)=1 Sorry.
In your equations c=ae and c=bd try solving for a and b then look and the product of the two. That should get ya there
So then and then Where Is that correct?
Multiply through by c to arrive at ab|asc because a|a and b|c ab|btc because a|c and b|b so it divides the sum which is c as desired.
Originally Posted by diddledabble So then and then Where Is that correct? I take back my original post. Let's try another approach. Since gcd(a,b) = 1 then there exists integers such that Multiply this equation by c to yield 1) Now where are integers Substitute these values in equation 1) where is an integer Thus or equivalently
View Tag Cloud