解分式方程:(1)1/(x+6)+1/(x+4)=1/(x+7)+1/(x+3);(2)1/(x-3)+1/(x-7)=1/(x-4)+1/(x-6).
人气:217 ℃ 时间:2020-03-25 21:11:11
解答
1)设x+5=y1/(y+1)+1/(y-1)=1/(y+2)+1/(y-2)2y/(y+1)(y-1)=2y/(y+2)(y-2)y(y+2)(y-2)=y(y+1)(y-1)y(y^2-4)=y(y^2-1)y=0x+5=0x=-52)设x-5=y1/(y+2)+1/(y-2)=1/(y+1)+1/(y-1)2y/(y+2)(y-2)=2y/(y+1)(y-1)y(y+1)(y-1)=y...不是这样算的吧,(1)应该化成:1/(x+6)+1/(x+7)=1/(x+4)+1/(x+3)(2)应该化成:1/(x-3)+1/(x-4)=1/(x-7)+1/(x-6)你可以试试,没我的算法简单呦
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