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If(1 ) /(x ^ 4+x ^ 2+ 1 )= (Ax +B)/(x ^ 2+ x +1 )+ (Cx+D)/( x ^ 2 - x+1 ) ,thenC +Disequal to

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SOLUTION : ` ( 1 ) /(X ^4 + x ^ 2+ 1 )= ( Ax + B) /(x ^ 2+ x+ 1 ) + (Cx +D)/(x ^ 2- x+ 1) `
` RARR ( Ax +B)( x ^ 2- x+ 1 )+(Cx+ D)(x ^ 2+ x+ 1 )= 1 `
Let, `x ^ 2 +1 =x `
`rArrx ^ 2+ 1 - x=0 `
`0+(Cx + D )(2x )= 1`
`rArr2 Cx^ 2+2Dx =1 `
`rArr2C ( x-1 )+ 2Dx= 1`
` rArr2x ( C + D)- 2C = 1`
`rArr2x ( C + D)- 2 c =0.x+ 1`
`thereforeC + D =0 `


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