Math, asked by kirtinatesh33, 6 months ago

if x+1/x =3, find the value of x^4+1/x^4​

Answers

Answered by Anonymous
1

Answer:

ANSWER

x+

x

1

=3−2

2

+

3−2

2

1

x

1

=

3−2

2

1

×

3+2

2

3+2

2

=

1

3+2

2

x+

x

1

=3−2

2

+3+2

2

=6

Squaring on 60th sides.

(x+

x

1

)

2

=36

x

2

+

x

2

1

=36−2⇒x

2

+

x

2

1

=34

Squaring on 60th sides.

(x

2

+

x

2

1

)

2

=(34)

2

x

4

+

x

4

1

=1156−2⇒x

4

+

x

4

1

=1154.

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