Question 1:

What is the smallest positive integer k such that for some positive integers a and n with ?

Solution 1:

We have so that giving k=1.

Question 2:

Let .

What is the value of

Answer 2:

Given

Similarly,

Now,

which in turn is equal to

Question 3: Homework:

It is given that the equation has integer roots. What is the sum of all possible values of a?

Cheers,

Nalin Pithwa

### Like this:

Like Loading...

*Related*