Question

if x=3+2√2 , find the value of x^2 +1/x^2​

Answer 1

Step-by-step explanation:

just put this values in this equation u get urs answer perfectly

Answer 2

Gudnyt

How r u??

Here's ur answer

x = 3+2√2

1/x = 1/(3+2√2)

     = 1/(3+2√2) * (3-2√2)/(3-2√2)

     = (3-2√2)/[(3)² - (2√2)²]

     = (3-2√2)/9-8

     = 3-2√2

x² = (3+2√2)² = 9 + 8 + 12√2 = 17 + 12√2

1/x² = (3-2√2)² = 9 + 8 - 12√2 = 17 - 12√2

Therefore,

x²+1/x²

= 17 + 12√2 + 17 - 12√2

= 17 + 17

= 34

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