Question

if x²+1/x²=27, find x+1/x and x-1/x​

Answer 1

Answer:

x−x1

We have,

(x−x1)2=x2−2×x×x1+x21

⇒(x−x1)2=x2−2+x21

⇒(x−x1)2=x2+x21−2

⇒(x−x1)2=27−2[∵x2+x21=27 given]

⇒(x−x1)2=25⇒(x−x1)