Question

if x+1/x=4, find [x²+1/x²] pls answer in a step wise manner​

Answer 1

Answer:

+x1=6

⇒(x+x1)2=x2+x21+2x.x1

                           =x2+x21+2

⇒x2+x21=(x+x1)2−2=62−2=34

⇒(x2+x21)2=x4+x41+2x2.x21

                              =x4+x4+x4

Answer 2

x+1/x=4

(x+1/x)² = x²+1/x² +2

(4)² = x²+1/x²

16-2 =x²+1/x