Question

If x² + 1/x² = 3 , find the value of x - 1/x​

Answer 1

x^2+1/x^2=3

x^+1=3x^2

2x^2=1

x^2=1/2

x=1/root2 or x=-1/root2

WHEN x=1/root2

x+1/x=(1/root2+1)/root2

=(1+root2)/2

WHEN x=-1/root2

x+1/x=(-1+root2)/2