Math Help - two quadratic equation problems

1. Prove


2. Let and be the roots of the equation , where p and k are positive real numbers.
(i) Find the quadratic equation whose roots are and
(ii) If p is prime and , are integers, show that k = p - 1

For question 2 I have trouble in (ii).

Thanks in advance.

Originally Posted by cakeboby

2. Let and be the roots of the equation , where p and k are positive real numbers.
(i) Find the quadratic equation whose roots are and
(ii) If p is prime and , are integers, show that k = p - 1

For question 2 I have trouble in (ii).

Thanks in advance.

Hi

You should find in (i)

If p is prime then and (or the other way)

I let you finish