Question

If x + 1/x = 4 and x - 1/x = 3 , then find x^2 - 1/x^2​

Answer 1

Answer:

12

Step-by-step explanation:

Given,

x+1/x= (x^2+1)/x= 4, x-1/x= (x^2-1)/x =3

To find: x^2-1/x^2 =?

x^2-1/x^2= (x^4 - 1)/x^2

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

[ As (x^2-1)= (x-1)*(x+1) ]

= 4*3= 12