Question:
Given that and
are the roots of the quadratic equation
, find the value of
Solution:
Let and
be the two roots of the given quadratic equation:
By Viete’s relations between roots and coefficients:
and
but we also know that
Now, let us call which in turn is same as
We have already determined in terms of p and q above.
Now, again note that which in turn gives us that
so we get:
so that
Hence, the given expression E becomes:
, which is the desired solution.
🙂 🙂 🙂
Nalin Pithwa.