Question

If x+(1/x)=3 find the vaule of (i)x-(1/x)

Answer 1

x+1/x=3

x=3-1/x

x^2=2

x=root 2

substitute the values for x-1/x

root 2- 1/root 2

(root4-1)/root2

1/root2

root2/2 (by rationalising denominator)