Nice Algebra Math Simplification | Find the Value of x² + 1/x²

x + 1/x = 5 → x^{2} + 1/x^{2} = ? Step-by-step solution, explained in full, with a final verification step. English voiceover. No background music. CHAPTERS: 0:00 Intro — The Problem 0:33 First — x Cannot Be Zero 1:01 Step 1 — Square Both Sides 1:37 Step 2 — Expand with (a+b)² 2:25 Step 3 — Subtract 2: Answer 23 2:55 Why the Middle Term Is 2 — A Picture 3:44 Common Mistake — Don't Distribute the Square 4:16 Step 4 — VERIFICATION (the Long Way) 5:20 A Second View — (x − 1/x)² 6:15 Bonus Example — Same Trick 6:39 Answer + Your Turn COMMENT QUESTION: If x + 1/x = 7, find x² + 1/x². Write your answer in the comments.