已知(5x-12)÷(x²-5x+6)=A÷(x-2)+B÷(x-3),求A、B的值 将除号都看成分数线 写出具体的做题方法和要点
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![已知(5x-12)÷(x²-5x+6)=A÷(x-2)+B÷(x-3),求A、B的值 将除号都看成分数线 写出具体的做题方法和要点](/uploads/image/z/9496934-62-4.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%885x-12%EF%BC%89%C3%B7%EF%BC%88x%26%23178%3B-5x%2B6%EF%BC%89%3DA%C3%B7%EF%BC%88x-2%EF%BC%89%2BB%C3%B7%EF%BC%88x-3%EF%BC%89%2C%E6%B1%82A%E3%80%81B%E7%9A%84%E5%80%BC+%E5%B0%86%E9%99%A4%E5%8F%B7%E9%83%BD%E7%9C%8B%E6%88%90%E5%88%86%E6%95%B0%E7%BA%BF+%E5%86%99%E5%87%BA%E5%85%B7%E4%BD%93%E7%9A%84%E5%81%9A%E9%A2%98%E6%96%B9%E6%B3%95%E5%92%8C%E8%A6%81%E7%82%B9)
已知(5x-12)÷(x²-5x+6)=A÷(x-2)+B÷(x-3),求A、B的值 将除号都看成分数线 写出具体的做题方法和要点
已知(5x-12)÷(x²-5x+6)=A÷(x-2)+B÷(x-3),求A、B的值 将除号都看成分数线 写出具体的做题方法和要点
已知(5x-12)÷(x²-5x+6)=A÷(x-2)+B÷(x-3),求A、B的值 将除号都看成分数线 写出具体的做题方法和要点
5x-12/x^2-5x+6=A/x-2+B/x-3
∴ 5x-12/(x-2)(x-3)=A(x-3)+B(x-2)/(x-2)(x-3)
x不可取2,或三,得到5x-12=A(x-3)+B(x-2)
所以 A+B=5
-2B-3A=-12
解得A=2,B=3