Can you further explain the step 2 (the quadratic equation) and

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter6: Some Methods In The Calculus Of Variations
Section: Chapter Questions
Problem 6.13P
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Can you further explain the step 2 (the quadratic equation) and please show the setp-by-step solution? thank you

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