: Setting up the equation as x + 1/x = 10/3 creates a quadratic form 3x square – 10x + 3 = 0. Factoring this gives (3x – 1)(x – 3) = 0, which provides the two possible numerical answers.
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We rewrite the terms as (40 – 6) (40 + 3) and utilize the standard quadratic expansion identity. Computing the numerical components yields the final plain text answer.