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# Pls Help

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Given $r = \frac{-b + \sqrt{b^2 - 4ac}}{2a} \text{ and } s = \frac{-b - \sqrt{b^2 - 4ac}}{2a}.$ What is the value of $r+s$, simplified in terms of $a, b$, and $c$?

Feb 24, 2021

r and s are both the roots of the polynomial $$ax^2+bx+c$$, so r+s is just the sum of the 2 roots. According to Vieta's formulas, that is equal to $$\boxed{\frac{-b}{a}}$$