Math, asked by krishgera, 1 year ago

x=3+√8 find x²+1/x²​

Answers

Answered by umapreethy
0

Answer:1,156.24532321

Step-by-step explanation:

Answered by DabstepCoder
1

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

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