Math, asked by aryamansaxena24, 1 month ago

If X=√3+√2/√3-√2, find (i) x^2+1/x^2 (ii) x^4+1/x^4

Answers

Answered by jagadishwar45
1

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.

Step-by-step explanation:

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