find the root of x+1/x=7
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♧Question♧
- find the root of x+1/x=7
♧Answer♧
By taking square root on b/s.
- ( x+1/x )² = ( 7 )²
- (x)² + 2(x)(1/x) + (1/x)² = 49
- x² + 2 + 1/x² = 49
- x² + 1/x² = 49 - 2
- x² + 1/x² = 47
By taking cube root on b/s.
- ( x+1/x )³ = ( 7 )³
- (x)³+ 3(x)(1/x)(x+1/x) + (1/x)³ = 343
- x³ + 3(7) + 1/x³ = 343
- x² + 21 + 1/x² = 343
- x³ + 1/x³ = 343 - 21
- x³ + 1/x³ = 322
Answer:-
- x² + 1/x² = 47
- x³ + 1/x³ = 322
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