Question

If x=3+3 root 2 find the value of x square +1/x square

Answer 1

Answer:

x=3+3√ 2      

x² + 1/x² = ( x + 1/x ) ² - 2

1 / x = 1/ ( 3+3√ 2 )

      = 3- 3√2 / ( -9 )

      = ( 1 - √2 ) / -3

      = - 1/3 + √2 / 3

x² + 1/x² = ( x + 1/x ) ² - 2

            = (3 + 3√2 + -1/3 + √2 / 3 ) ² - 2

            ={ (8 + 10 √2 ) / 3 } ² - 2

            =(64 + 160 √2 + 200 - 18 ) /9

            = (246 + 160√2 ) / 9 ( answer )

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