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If(x -4 ) /(x ^ 2- 5x- 2 k )=(2)/(x - 2 )- (1)/(x+ k ) , then k isequalto |
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Answer» `- 3 ` ` RARR(x -4 )/( x ^ 2- 5x - 2k )=(2 (x +k )-(x- 2 ))/((x - 2 )(x + k) ) ` `rArr(x - 2)(x +k)=x ^ 2- 5x- 2 k` `thereforex- 2`isfactorof` x ^ 2-5 x -2k` `therefore(2) ^ 2 -5 (2)- 2k=0 ` ` 4 - 10- 2k= 0 ` `2k=-6 ` ` k=- 3 ` |
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