Question

If x + 1/x =4, find the value of
(i) x²+1/x²
(ii) x⁴ +1/x⁴​

Answer 1

Answer:

part 1

Step-by-step

First take square both sides

(x+1÷x)²=4²

open formula

x²+1÷x²+2=16

subtract 2 from both sides of equation

x²+1÷x² +2-2=16-2

x²+1÷x²=14 is equation 1

part 2

take square of equation 1

(x²+1÷x²)=14²

x^4+1÷x^2+2=196

x^4+1÷x^4=194