Question

show that the square of an old positive integer is of form eq. +1, form some positive integer q​

Answer 1

Step-by-step explanation:

Let a be any odd positive integer with b=4.

Therefore,

a= 4q+1 ( By Euclid's Division Lemma)

When a=4q+1

a2=(4q+1)2

=16q2 +1 + 8q

=8(2q2 +q) +1

=8q+1 where (q=2q2+q)

Hence proved.