Question

If (x+1/x)=5,find the value of (x^2+1/x^2)and(x^4+1/x4)​

Answer 1

Answer:

Step-by-step explanation:

( x - 1/x ) = 5

Square on both sides,

( x - 1/x )² = 5²

=> x² + 1/x² - 2 = 25

=> x² + 1/x² = 27 [ 1 answer ]

Again square on both sides,

=> ( x² + 1/x² )² = 27²

=> x⁴ + 1/x⁴ + 2 = 729

=> x⁴ + 1/x⁴ = 727