Question

if x - 1/x = 2 then find the value of x² + 1/x² and x⁴ + 1/x⁴​

Answer 1

Answer:

x-1/x=2

(x-1/x)^2= x^2+1/x^2-2

4=x^2+1/x^2-2

4+2=x^2+1/x^2

6=x^2+1/x^2

(x-1/x)4=x^4+1/x^4-8

8=x^4+1/x^4-8

8+8= x^4+1/x^4

x^4+1/x^4=16.