Question

if x+1/x=root 5 find the values of x square +1/x square and x power 4 + 1/x power 4​

Answer 1

Answer:

x+1/x=√5

Square LHS and RHS

(x+1/x) ^2=(√5) ^2

by using (a+b)^2 in LHS

so, x^2+1+1/x^2=5