InterviewSolution
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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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Answer» ` - 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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