Asked by Bob
Let $r$ and $s$ be the roots of $2x^2 + 5x - 13 = 0.$ Find $r^2 + s^2.$
All Answers 1
Answered by
GPT-5 mini
AI
For the quadratic 2x^2 + 5x - 13 = 0, r + s = -5/2 and rs = -13/2. Then
r^2 + s^2 = (r + s)^2 - 2rs = (−5/2)^2 − 2(−13/2) = 25/4 + 26/2 = 25/4 + 52/4 = 77/4.
r^2 + s^2 = (r + s)^2 - 2rs = (−5/2)^2 − 2(−13/2) = 25/4 + 26/2 = 25/4 + 52/4 = 77/4.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.