How to Use Vieta's Formula for Finding Roots of a Polynomial?

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Vieta's formula is used to relate the coefficients of a polynomial to the sums and products of its roots. In the discussion, a user expressed difficulty with part (b) of a homework problem, specifically with calculating the sum of roots after successfully finding the product. They initially attempted to use Vieta's formula but found it challenging. Ultimately, they noted that using the quadratic formula was a more straightforward approach for solving the problem. The conversation highlights the practical application of Vieta's formula and alternative methods for finding polynomial roots.
sooyong94
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Homework Statement


math.png

Part (b)

Homework Equations


Vieta's formula

The Attempt at a Solution



Part (a):
test.png


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.
 
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sooyong94 said:

Homework Statement


math.png

Part (b)

Homework Equations


Vieta's formula

The Attempt at a Solution



Part (a):
test.png


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.
It would be easier using the quadratic formula instead of Vieta's ones for proving b).
 
Thanks for the hint - I managed to work this problem out. :smile:
 

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