Given that and are the roots of the quadratic equation , find the value of
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:
Hence, the given expression E becomes:
, which is the desired solution.
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