Question

plz give answer with full solution...
Right answer with correct solution will be mark as Brainliest...​

Answer 1

1

=

5−

21

2

=

(5−

21

)(5+

21

)

2(5+

21

)

=

4

2(5+

21

)

⇒

x

1

=

2

5+

21

Now, x+

x

1

=

2

5−

21

+

2

5+

21

=5

Similarly, x

2

+

x

2

1

=(

2

5−

21

)

2

+(

2

5+

21

)

2

Using equation (1) we can easily write

x

2

+

x

2

1

=2×(

4

25

+

4

21

)=23

Also, x

3

+

x

3

1

=(

2

5−

21

)

3

+(

2

5+

21

)

3

Using equation (2),

x

3

+

x

3

1

=2×

2

5

×(

4

25

+

4

63

)=110

∴   (x

3

+

x

3

1

)−5(x

2

+

x

2

1

)+(x+

x

1

)=110−5×23+5=115−115=0