anonymous
  • anonymous
Prove that :If a,b belongs to Z then (a^2 + b^2)/(1 + ab) is a perfect square.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I know the answer......I just want to confirm it.
anonymous
  • anonymous
a = 2, b =1 \[\frac{4 + 1}{1 +2} = \frac{5}{3}\]
anonymous
  • anonymous
Or, I didn't understand your question? I don't think you will ever get a perfect square through that equation.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Try b = 0 you get one . Now how do I prove it?
anonymous
  • anonymous
This is an IMO Problem.
anonymous
  • anonymous
But I think that's it, it's only valid when b=0. Do you have any other example?
anonymous
  • anonymous
\[\frac{a^2+b^2}{1+ab} = q^2\] \[\sqrt{\frac{a^2+b^2}{1+ab}} = q\]Now we need some manipulation here.

Looking for something else?

Not the answer you are looking for? Search for more explanations.