Question

if x + 1/x =9 and x^2 + 1/x^2 =53 then find the value of x-1/x​

Answer 1

Answer:

The question should be- if x + 1/x =9 and x^2 + 1/x^2 =79 then find the value of x-1/x​.

Step-by-step explanation:

when, x+1/x=9

then on squaring both sides,

(x+1/x)^2=9^2

x^2+1/x^2+2=81

x^2+1/x^2=79

Then,

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

(x-1/x)^2=79-2

(x-1/x)^2=77

(x-1/x)=√77