Question

if x-1/x=7 then find the value of x^2-1/x^2​

Answer 1

Step-by-step explanation:

We have,

x−

x

1

=7

On squaring both sides, we get

x

2

+

x

2

1

−2=49

x

2

+

x

2

1

=51

Hence, this is the answer.

Answer 2

Answer:

X-1/x=7

x-1

= ----------- =7

x

=x-1=7x

=x-7x=1

= -6x=1

1

=x= ------

-6

x^2-1/x^2

x^2-1

= -----------

x^2

1

( ---------)^2 -1

-6

= ---------------------

1

( ---------)^2

-6

1

---------- - 1

36

= -------------------

1

---------

36

1-36

-------------

36

= ---------------

1

------------

36

-35

-----------

36

= ------------------

1

-----------

36

-35

= ------- ×36

36

= -35

ans -35