1.

If(x -4 ) /(x ^ 2- 5x- 2 k )=(2)/(x - 2 )- (1)/(x+ k ) , then k isequalto

Answer»

`- 3 `
` -2 `
`2 `
`3`

Solution : ` (x-4 ) /(x ^ 2 - 5x- 2 K)=(2 ) /(x - 2 )- (1)/(x +k ) `
` 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 `


Discussion

No Comment Found

Related InterviewSolutions