Question

if
$x = 3 + \sqrt{8 } \: then \: (x {}^{2} + \frac{1}{ {x}^{2} }) =$
​

Answer 1

Answer:

Answer

x=3+

3

x

2

=(3+

8

)

2

=9+8+6

8

=17+6

8

x

2

+

x

2

1

=(3+

8

)

2

+

(3+

8

)

2

1

⇒17+6

18

+

17+6

8

1

⇒

17+6

8

(17+6

8

)

2

+1

×

(17−6

8

)

(17−6

8

)

⇒

289−288

(17+6

18

)

2

(17−6

8

)+(17−6

8

)

⇒(289−288)(17+6

8

)+17−6

8

⇒17+6

8

+17−6

8

=34