分式方程练习题求解3x+1/x2 –x–6=(A/x–3) –(B/x+2)

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分式方程练习题求解3x+1/x2 –x–6=(A/x–3) –(B/x+2)
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分式方程练习题求解3x+1/x2 –x–6=(A/x–3) –(B/x+2)
分式方程练习题求解
3x+1/x2 –x–6=(A/x–3) –(B/x+2)

分式方程练习题求解3x+1/x2 –x–6=(A/x–3) –(B/x+2)
A/(x-3)-B/(x+2)
=(Ax+2A-Bx+3B)/(x-3)(x+2)
=[(A-B)x+(2A+3B)/(x-3)(x+2)
∴A-B=3,2A+3B=1
解得A=2,B=-1