The sum of 5 consecutive integers is 505. what is the third number in this sequence?
2 answers:
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Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>- Suppose we have a quadratic equation, in the following format:
- The roots are p and q.
The Theorem states that:
In this problem, the polynomial is:
Hence the coefficients are .
Since the difference of the solutions is 1, we have that:
Then, from the first equation of the Theorem:
Now, from the second equation:
To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978