Question

if x + 1/x = 4, then find the value of x⁴ + 1/x⁴.​

Answer 1

Answer:

x+1/x=4

x+1

= ------- =4

x

=x+1=4x

=x-4x=-1

= -3x=-1

-1

= x = -------

-3

1

x= -----

3

x^4+1/x^4

x^4+1

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

x^4

1

(---------)^4 + 1

3

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

1

( ------)^4

3

1

----------- + 1

81

= ----------

1

---------

81

1+81

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

81

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

1

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

81

82

---------

81

= ---------

1

--------

81

82

= ------- ×81

81

=82

ans =82