If x =2+3root2 then find x+14uponx
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Hi ,
x = 2 + 3√2 ---( 1 )
1/x = 1/( 2 + 3√2 )
= ( 3√2 - 2 )/[ ( 3√2 + 2 )(3√2 -2 ) ]
= ( 3√2 - 2 )/ [ ( 3√2 )² - 2² ]
= ( 3√2 - 2 )/ ( 18 - 4 )
= ( 3√2 - 2 )/14 ---( 2 )
NOW ,
x + 14/x
= ( 1 ) + 14 × ( 2 )
= 2 + 3√2 + [ 14 ( 3√2 - 2 ) ]/14
= 2 + 3√2 + 3√2 -2
= 6√2
I hope this helps you.
: )
x = 2 + 3√2 ---( 1 )
1/x = 1/( 2 + 3√2 )
= ( 3√2 - 2 )/[ ( 3√2 + 2 )(3√2 -2 ) ]
= ( 3√2 - 2 )/ [ ( 3√2 )² - 2² ]
= ( 3√2 - 2 )/ ( 18 - 4 )
= ( 3√2 - 2 )/14 ---( 2 )
NOW ,
x + 14/x
= ( 1 ) + 14 × ( 2 )
= 2 + 3√2 + [ 14 ( 3√2 - 2 ) ]/14
= 2 + 3√2 + 3√2 -2
= 6√2
I hope this helps you.
: )
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