⭐ Olympiad Mathematics Question With Solution ๐ Question If x + 1/x = 3 x^3 + 1/x^3 = 18 ✔ Solution (Step-by-Step Explanation) We know the identity: Given: x + 1/x = 3 Cube both sides: (x + 1/x)^3 = 3^3 Using identity: (x + 1/x)^3 = x^3 + 1/x^3 + 3(x + 1/x) Substitute the value: 27 = x^3 + 1/x^3 + 3(3) 27 = x^3 + 1/x^3 + 9 Therefore: x^3 + 1/x^3 = 18 ⭐ Final Answer x^3 + 1/x^3 = 18 ๐ฅ Why this is an important Olympiad trick? This question teaches how to solve cube identities without directly expanding powers. Such tricks save time in: Math Olympiad NTSE JEE / NEET School competitive tests ๐ Try Yourself (Bonus Practice) If x + 1/x = 4 Find: x^3 +1/x^3 = ? ๐ Comment your answer on our Instagram page @krmath01 ๐ Follow for More Daily Problems Get daily math tricks, puzzles and Olympiad questions: ๐น Instagram: @krmath01 ๐น Website: krmath.blogspot.com ๐
๐งฎ Math Olympiad Challenge – Question & Solution Question: If 7x² = 49, then what is x² – 5 = ? Step-by-step Solution: Start with the given equation: 7x² = 49 Divide both sides by 7: x² = 7 Now subtract 5: x² – 5 = 7 – 5 = 2 ✅ Final Answer = 2 ๐ก Tip: This is a classic Olympiad-style problem that tests algebra basics with a twist! ๐ Challenge: Can you solve it in less than 10 seconds without pen and paper? Comment your time below ๐ ๐ Follow me on Instagram @krmath for daily math challenges !