Other equations

  • Real(ly) numbers
    problem

    Real(ly) Numbers

    Age
    16 to 18
    Challenge level
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    If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?

  • Golden Ratio
    problem

    Golden Ratio

    Age
    16 to 18
    Challenge level
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    Solve an equation involving the Golden Ratio phi where the unknown occurs as a power of phi.