if x-1/x=4 then find x²+1/x²
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Correct Question :
- if x+ 1/x=4 then find x²+1/x²
Answer :
- Answer is x² + 1/x² = 14
Given :
- x + 1/x = 4
To find :
- x² + 1/x²
Solution :
Here , squaring 1 on both sides we get
→ (x + 1 /x)² = (4)²
→ x² + 1/x² + 2 × x × 1/x = 16
→ x² - 1/x² - 2 = 16
→ x² + 1/x² = 16 - 2
→ x² + 1/x² = 14
Hence, Answer is x² + 1/x² = 14
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