find that the x power 4 + 1divide by X power 4 equal to 527 then find x+1divided by x
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Solution :
Given x⁴ + 1/x⁴ = 527
=> ( x² )² + ( 1/x² )² + 2 = 527 + 2
=> ( x² + 1/x² )² = 23²
=> x² + 1/x² = 23 ----( 1 )
=> x² + 1/x² + 2 = 23 + 2
=> ( x + 1/x )² = 5²
=> x + 1/x = 5
••••••
Given x⁴ + 1/x⁴ = 527
=> ( x² )² + ( 1/x² )² + 2 = 527 + 2
=> ( x² + 1/x² )² = 23²
=> x² + 1/x² = 23 ----( 1 )
=> x² + 1/x² + 2 = 23 + 2
=> ( x + 1/x )² = 5²
=> x + 1/x = 5
••••••
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