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📰 Define $ f(a) = a + rac{1}{a} - 2 $ for $ a > 1 $. By AM-GM, $ a + rac{1}{a} \geq 2 $, with equality at $ a = 1 $. But $ a > 1 $, so $ f(a) > 0 $. However, as $ a o 1^+ $, $ f(a) o 0^+ $. The minimum value is not attained, but we seek the infimum. Since $ f(a) $ increases for $ a > 1 $, the expression approaches 0 as $ p o q^+ $, but never reaches it. However, we analyze the original expression algebraically: 📰 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 📰 Watch Her Break Up Our Love Shes Out Of My Leagueyoull Burn Trying To Match Her 8429690 📰 Ctr Check Is Your Net Version Turbo Poor Or Power Packed Discover Now 1486851 📰 The Fashion Set Collapsed When This Dressy Casual Outfit Hit The Runwayheres Winning You Too 9473500 📰 Your Thyroid Is Betraying Youwhat Hidden Signals Are You Missing 7988366 📰 Your Journey Hits A Dead Endreveal The Hidden Shortcut No One Talks About 203150 📰 The Ultimate Guide To Modo Us What Everyones Been Too Quiet About 3282066 📰 What Do Lemon And Water Do For Your Body 3941095 📰 Kim Kardashian Tape 9563617 📰 Are Kylie And Timothee Still Together 5686369 📰 A Ladder Leans Against A Wall Reaching A Height Of 12 Meters The Base Of The Ladder Is 5 Meters Away From The Wall What Is The Length Of The Ladder 7624258 📰 This Hidden Secret In Edenelinfo Will Change Everything Forever 7529046 📰 How To Check Your Epic Id 2867926 📰 Activate My New Iphone Verizon 6877249 📰 Tony Profine Exposes Massive Truth Why Every Fan Should Watch Now 8593016 📰 Master Tower Defence Bloons Like A Pro Your Secret Weapon For Winning Every Fight 5382027