if x+1 upon x =4 then find x2+2upon x2
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Question :-- if (x + 1/x) = 4 , Find (x² + 1/x²)
Solution :---
(x + 1/x) = 4
Squaring both sides we get,
→ (x + 1/x)² = 4²
Now, using (a+b)² = a² + b² + 2ab in LHS , we get,
→ x² + 1/x² + 2 * x * 1/x = 16
→ x² + 1/x² + 2 = 16
→ x² + 1/x² = 16 - 2
→ x² + 1/x² = 14 . (Ans).
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