Question:
what would be the the relation between p and q if zeroes of quadratic polynomial px^2 2x q are reciprocal of each other
Answer:
Given polynomial is
px2 + 2x + q
Given zeroes of this polynomial are reciprocal of each other
Let first zero = a
then second zero = 1/a
Now
a* (1/a) = q/p
=> 1=q/p
=> p = q
=> p-q = 0
So relation between p and q is p-q = 0
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