This discussion focuses on the application of Vieta's Formula for finding the roots of a polynomial, specifically addressing challenges in calculating the sum and product of roots. The participant initially struggled with part (b) of their homework, attempting to derive the product of roots as b²d² but faced difficulties with the sum of roots. Ultimately, they concluded that using the quadratic formula provided a more straightforward solution for their problem, demonstrating the practical utility of both Vieta's Formula and the quadratic formula in polynomial root analysis.
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It would be easier using the quadratic formula instead of Vieta's ones for proving b).sooyong94 said:Homework Statement
Part (b)
Homework Equations
Vieta's formula
The Attempt at a Solution
Part (a):
I'm kinda stuck on part (b) - I tried multiplying the product of roots and got b^2 d^2, but I have no idea on dealing with the sum of roots.
