Question

x=3+√8 find x²+1/x²​

Answer 1

Answer:1,156.24532321

Step-by-step explanation:

Answer 2

Answer:

34

Step-by-step explanation:

Since x=3+√8 :

$x^{2} +\frac{1}{x^{2}} = x^{2} +\frac{1}{x^{2}} + 2 - 2$

$= (x + \frac{1}{x} )^{2}  - 2$

$= ( 3 + 2\sqrt{2}  + \frac{1}{3 + 2\sqrt{2} } )^{2}  - 2$

$= ( 3 + 2\sqrt{2}  + \frac{3 - 2\sqrt{2}}{9 - 8} )^{2}  - 2$

$= ( 3 + 2\sqrt{2}  + 3 - 2\sqrt{2})^{2}  - 2$

$= ( 6 )^{2} - 2$$= 34$