Question

X+1 by x=3 find x6+1 by x6

Answer 1

Heya !!



X + 1/X = 3



On squaring both sides , we get




( X + 1/X )² = (3)²




X² + 1/X² + 2 × X × 1/X = 9



X² + 1/X² + 2 = 9



X² + 1/X² = 7



On cubic both sides , we get



{( X² + 1/X²)}³ = (7)³





( X²)³ + (1/X²)³ + 3 × X² × 1/X² × ( X² + 1/X²) = 343




X^6 + 1/X^6 + 3 × 7 = 343




X^6 + 1/X^6 = 343-21




X^6 + 1/X^6 = 322.



Hope it will help you :-)