( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ^-^

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( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ^-^
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( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ^-^
( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ^-^

( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ^-^
( A/X-5 ) + ( B/X+2 ) = 5X-4/X^2-3X-10 ,
[(A+B)x+(2A-5B)]/(x^2-3x-10)
A+B=5,
2A-5B=-4.
A=3,B=2.

( A/X-5 ) + ( B/X+2 )=(AX+A+BX-5B)/(x+2)(x-5)
=[(A+B)X+(A-5B)]/(x+2)(x-5)
故A+B=5 A-5B=-5
所以A=5/3 A=10/3
很高兴为你解决问题!