Question

Find x^(2)+(1)/(x^(2)) and x^(4)+(1)/(x^(4) if x-1/x =9​

Answer 1

Answer:

ANSWER

x4+x41=119

Adding 2 on both the sides,

x4+x41+2=119+2

(x2+x21)2=121⇒x2+x21=11

Subtracting 2 on both sides.

x2+x21−2=11−2

(x−x1)2=9⇒x−x1=±3

Hence, x−x1=3.