Question

if (x-1/x)²=25,then find the value of x²-1/x²​

Answer 1

Step-by-step explanation:

We can see that x−

x

1

=5

Also, (x−

x

1

)

2

+4=29⇒(x+

x

1

)

2

=29⇒x+

x

1

=

29

Now, x

2

−

x

2

1

=(x−

x

1

)(x+

x

1

)=5

29