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📰 Question: A civil engineer designs a triangular support beam with side lengths satisfying $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Find the area of the triangle. 📰 Solution: Let $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Compute $ (a + b)^2 = 100 = a^2 + 2ab + b^2 = 58 + 2ab $. Solve for $ ab $: $ 2ab = 42 \Rightarrow ab = 21 $. The area is $ \frac{1}{2}ab = \boxed{\frac{21}{2}} $. 📰 Question: A data scientist optimizes a recommendation algorithm with the inequality $ 2x^2 - 7x + 3 < 0 $. Solve for $ x $. 📰 Kate Burton 6055726 📰 Dragonquest 347626 📰 These Yahoo Quotes Are So Bold Theyre Breaking Hearts And Sparking Debatesdont Miss Out 1528524 📰 How To Calculate Tariffs 8103582 📰 Unlock Faster Emoji Input The Official Windows Shortcut Youve Been Searching For 5789398 📰 Lorain County Auditor Closely Watches Inside How Millions Disappeared 7680736 📰 Game Time App Lose Your Friends Foreverheres How 2194406 📰 Stunning Dibujos Bonitos Watch These To Snatch Every Designers Heart 1187161 📰 S Ves Chilled Santa Hotline Reveals Secret Christmas Surprise 5381152 📰 Cleaner Pool Robot 5480763 📰 This Free Alert Shows Ubers 2030 Stock Price 4126859 📰 South Vietnam 5454465 📰 Epic Games Store Not Working 9308373 📰 Guys Bac Stock Is Explodingare You Missing The Biggest Opportunity Of The Year 4314684 📰 Cake Like Amy Winehousediscover The Dessert Thats Wreaking The Internet 6362214