Question

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





I need answer in paper with steps ​

Answer 1

Answer:

( 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