ight) = rac{4q^2}{p^2 - q^2}.

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• R = rac{(p+q)^2 + (p-q)^2}{(p-q)(p+q)} - 2 = rac{p^2 + 2pq + q^2 + p^2 - 2pq + q^2}{p^2 - q^2} - 2 = rac{2p^2 + 2q^2}{p^2 - q^2} - 2.
• R = 2\left( rac{p^2 + q^2}{p^2 - q^2} - 1
• ight) = 2\left( rac{2q^2}{p^2 - q^2}
• As $ p o q^+ $, $ R o \infty $. As $ p \gg q $, $ R o 0 $. So $ R > 0 $, but has no minimum? Wait — reconsider: the expression
• rac{p+q}{p-q} + rac{p-q}{p+q} \geq 2 \Rightarrow R = \left( rac{p+q}{p-q} + rac{p-q}{p+q}
• ight) - 2 \geq 2 - 2 = 0,

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