1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.
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1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.
∵1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)
∴1/(x-7)+1/(x-8)+1/(x-10)+1/(x-11)=0
∴(x-7+x-8+x-10+x-11)/(x-7)(x-8)(x-10)(x-11)=0
∵分母不为0
∴(x-7)(x-8)(x-10)(x-11)不=0
∵ (x-7+x-8+x-10+x-11)/(x-7)(x-8)(x-10)(x-11)=0
∴x-7+x-8+x-10+x-11=0
∴4x-36=0
∴x=9
∴1/(x-7)+1/(x-8)+1/(x-10)+1/(x-11)=0
∴(x-7+x-8+x-10+x-11)/(x-7)(x-8)(x-10)(x-11)=0
∵分母不为0
∴(x-7)(x-8)(x-10)(x-11)不=0
∵ (x-7+x-8+x-10+x-11)/(x-7)(x-8)(x-10)(x-11)=0
∴x-7+x-8+x-10+x-11=0
∴4x-36=0
∴x=9
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