Wednesday, June 29, 2005
Problem# 11
(a) The quadratic x2 + ax + b + 1 has roots which are positive integers. Show that (a2 + b2) is composite (i.e. has factors).
Hint: What? You wants hints? Not for this one!
(b) Additionally, prove that, if a2 = 4(b + 1), (a2 + b2) becomes a perfect square.
Hint: What? You wants hints? Not for this one!
(b) Additionally, prove that, if a2 = 4(b + 1), (a2 + b2) becomes a perfect square.
# posted by Sujeet Banerjee @ 4:01 AM 
Comments:
<< Home
You said -
" either both a n b will be even or both will be odd "
How? Take:
A=4 and B=2
So, you get
a=-6 and
b=7
(a is even but b is odd!)
Post a Comment
" either both a n b will be even or both will be odd "
How? Take:
A=4 and B=2
So, you get
a=-6 and
b=7
(a is even but b is odd!)
<< Home
