please solve this please anyone please give right answer if you give me right answer I Will gave your answer brainlist
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Answer :
x⁴ + 1/x⁴ = 2599
Solution :
- Given : x - 1/x = 7
- To find : x⁴ + 1/x⁴ = ?
We have ;
x - 1/x = 7
Now ,
Squaring both the sides , we have ;
=> (x - 1/x)² = 7²
=> x² + (1/x)² - 2•x•(1/x) = 49
=> x² + 1/x² - 2 = 49
=> x² + 1/x² = 49 + 2
=> x² + 1/x² = 51
Again ,
Squaring both the sides , we have;
=> (x² + 1/x²)² = 51²
=> (x²)² + (1/x²)² + 2•x²•(1/x²) = 2601
=> x⁴ + 1/x⁴ + 2 = 2601
=> x⁴ + 1/x⁴ = 2601 - 2
=> x⁴ + 1/x⁴ = 2599
Hence ,
x⁴ + 1/x⁴ = 2599 .
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