Question

if (x+1/x) = 4 then find the value of x^​2+​1/​x^​2 and x^​4+​1/​x^​4​

Answer 1

Answer:

x+1/x = 4

=> (x+1/x)² = (4)²

=> x²+1/x²+2 = 16

=> x²+1/x² = 16-2

=> x²+1/x² = 14

=> (x²+1/x²)² = (14)²

=> x⁴+1/x⁴+2 = 196

=> x⁴+1/x⁴ = 196-2

=> x⁴+1/x⁴ = 194