帮我解一道简单分式5+96/(x^2-16)=2x-1/(4x+1)-3x-1/(4-x)

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帮我解一道简单分式5+96/(x^2-16)=2x-1/(4x+1)-3x-1/(4-x)

帮我解一道简单分式5+96/(x^2-16)=2x-1/(4x+1)-3x-1/(4-x)
帮我解一道简单分式
5+96/(x^2-16)=2x-1/(4x+1)-3x-1/(4-x)

帮我解一道简单分式5+96/(x^2-16)=2x-1/(4x+1)-3x-1/(4-x)
5+96/(x^2-16)=(2x-1)/(x+4)-(3x-1)/(4-x)
5+96/(x^2-16)=(2x-1)/(x+4)+(3x-1)/(x-4)
5(x^2-16)+96=(2x-1)(x-4)+(3x-1)(x+4)
5x^2-80+96=2x^2-9x+4+3x^2+11x-4
5x^2+16=5x^2+2x
2x=16
x=8