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यदि ` [If] x + ( 1 ) / ( x ) = 1, ` तो ` x ^( 20000) + ( 1 ) /( x ^(20000) ) ` का मान निकाले |

Answer» प्रश्न से, ` x + ( 1 ) /( x ) = 1 `
or ` x ^ 2 - x + 1 = 0 therefore x = ( 1 pm sqrt 3 i ) /( 2 ) = - omega , - omega ^ 2 `
` therefore x ^( 2000) + ( 1 ) /( x ^( 2000) ) = {{:( omega ^(2000) + ( 1 ) / ( omega^(2000) ) = omega ^ 2 + ( 1 ) / ( omega^ 2 ) = omega ^ 2 + omega = - 1 ) , ( omega ^( 4000) + ( 1 ) /( omega^(4000)) = omega + ( 1 ) / ( omega ) = omega + omega ^ 2 - 1 ) :} `


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