Question

If x+1/x=3√3, then what find that x^4+1/x^4=727

Answer 1

Answer:

It is given that ,

x + 1/x = 3√3--( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 27

x² + 1/x² + 2 = 27

x² + 1/x² = 27 - 2

x² + 1/x² = 25 --( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )² = 25²

x⁴ + 1/x⁴ + 2 = 625

x⁴ + 1/x⁴ = 625 - 2

= 623