解方程:x/(x-2)+(x-3)/(4-x²)=1

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解方程:x/(x-2)+(x-3)/(4-x²)=1
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解方程:x/(x-2)+(x-3)/(4-x²)=1
解方程:x/(x-2)+(x-3)/(4-x²)=1

解方程:x/(x-2)+(x-3)/(4-x²)=1
x/(x-2)+(x-3)/(4-x²)=1
方程两边同乘以(x+2)(x-2)得:
x(x+2)-(x-3)=(x²-4)
x²+2x-x+3=x²-4
x=-7
经验验,x=-7是原方程的解.

x/(x-2)+(x-3)/(4-x²)=1
两边同乘以(x+2)(x-2)
x(x+2)-(x-3)=x²-4
x²+2x-x+3=x²-4
x=-7