Question

if x=1/4-x find the values of:–

1. x+1/x

2. x³+1/x³

3. x^6+1/x^6 ​

Answer 1

Answer:

x²+1/x² +2 ×x× 1/x =3². x²+1/x² +2=9. x²+1/x² = 7. Now to find value of x³+1/x³ first expand it. x³+1/x³ = (x+1/x) (x²+1/x² -1). =(3)(7–1). =3×6.