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The quadratic equation x^2−9x+10=0 has roots tanα and tanβ, where 0∘<α+β<180∘. What is the measure of α+β (in degrees)?

  • Trigonometry -

    x = (9±√41)/2
    arctan(x) = 82.6° or 52.4°

    Don't know how to evaluate the arctan directly; it appears not to be any familiar angle

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