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Algebra 2ChallengeCircles & Lines

Circles & Lines · Challenge problem

Let r,s,tr, s, t be the roots of x3−6x2+11x−6x^3 - 6x^2 + 11x - 6. What is 1r+1s+1t\dfrac{1}{r} + \dfrac{1}{s} + \dfrac{1}{t}?