Question

if x=3+2√2??
then x^2+1/x^2=?​

Answer 1

Answer:

34

Step-by-step explanation:

x = 3 + 2√2 ---( 1 )

1/x = 1/( 3 + 2√2 )

= ( 3 - 2√2 )/[ ( 3 + 2√2 )( 3 - 2√2 )]

= ( 3 - 2√2 )/ [ 3² - ( 2√2 )² ]

= ( 3 - 2√2 ) / ( 9 - 8 )

= 3 - 2√2 ----( 2 )

x + 1/x = 3 + 2√2 + 3 - 2√2

= 6 ----( 3 )

Squaring equation ( 3 ) , we get

=>( x + 1/x )² = 6²

=>x² + 1/x² + 2 = 36

=>x² + 1/x² = 36 - 2=34

HOPE IT HELPS,

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