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Are there practical uses for the formulas for the sum and product of quadratic roots? I have only seen the topic for these sum and product formulas in one section of any college algebra and intermediate algebra books, and then nothing more. I'm just curious if people, ... scientists or engineers, actually do anything PRACTICAL with these formulas, or are they just a topic in the textbooks with no further use? I never used these formulas in anything outside of just the mathematical, algebra exercises.