1.

If(2x ^ 3+x ^ 2- 5 ) /( x ^4-25 )=(Ax +B)/( x ^ 2- 5 )+(Cx + 1 ) /( x ^ 2+5 ),then(A, B, C)equalsto

Answer»

` (1, 1, 1 ) `
` (1, 1 , 0 ) `
` (1, 0, 1 ) `
` (1, 2, 1 ) `

Solution : ` (2 x ^3 + x ^ 2-5 ) /(x ^4 -25 )=(Ax +B)/( x ^ 2- 5 )+(CX + 1 ) /(x ^ 2+ 5 ) `
` rArr(Ax + B )(x ^ 2+5 )+(x + 1 )(x ^ 2- 5 )=2X ^ 3+x ^ 2- 5 `
` rArr A + C = 2 , 5B - 5 =- 5 `
` 5A - 5C =0 rArr B =0 `
` rArrA = C `
`thereforeA = C = 1`
`therefore( A, B, C )=(1, 0, 1 ) `


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