Question

If x+1/x=4 , find the value of x-1/x​

Answer 1

Answer:

x+ 1/x = 4

(x+ 1/x )²= (4)²

(x)²+ (1/x)²+ 2 = 16

x²+ 1/x²= 16-2

x²+1/x²= 14

Now, (x- 1/x )²+2= 14

(x- 1/x)²= 14-2

(x-1/x)²= 12

so, (x-1/x)= √12

hence, x- 1/x = 2√3