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Math Help - Golden Ratio question

  1. #1
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    Golden Ratio question

    I need to verify the following, and cant seem to figure it out:
    If a,b >0 and b/a satisfies the proportion b/a=(a+b)/b, then \frac{b}{a}\equiv r=\frac{1+\sqrt{5}}{2}.

    If c,d >0 and c/d satisfies the proportion d/c=c/(c+d), then \frac{d}{c}\equiv r=\frac{\sqrt{5}-1}{2}.

    Cant seem to get anywhere with these
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  2. #2
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    In the first one, let t = \frac{b}{a}. Solve the quadratic with t.
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