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解方程:x/(x%2)+(x%9)/(x%7)=(x+1)/(x%1...

解: x/(x-2)+(x-9)/(x-7)=(x+1)/(x-1)+(x-8)/(x-6) 因为x/x-2=(x-2+2)/x-2=1+2/x-2.其他类似。 即 1+2/(x-2)+1-2/(x-7)=1+2/(x-1)+1-2/(x-6) 1/(x-2)-1/(x-7)=1/(x-1)-1/(x-6) 可得-5/(x-2)(x-7)=-5/(x-1)(x-6) (x-2)(x-7)=(x-1)(x-6) 化简...

(x+1)/(x+2)+(x+8)/(x+9)=(x+2)/(x+3)+(x+7)/(x+8) (x+2-1)/(x+2)+(x+9-1)/(x+9)=(x+3-1)/(x+3)+(x+8-1)/(x+8) 1-1/(x+2)+1-1/(x+9)=1-1/(x+3)+1-1/(x+8) 1/(x+2)+1/(x+9)=1/(x+3)+1/(x+8) 1/(x+2)-1/(x+3)=1/(x+8)-1/(x+9) 1/[(x+2)(x+3)]=1/[(...

(1)2(x+1.7)=9.2, 2(x+1.7)=9.2÷2, x+1.7=4.6,x+1.7-1.7=4.6-1.7x=2.9;(2)8x-4x=0.64, 4x=0.64,, 4x÷4=0.64÷4,x=0.16; (3)2x-0.24=0.12,2x-0.24+0.24=0.24+0.12, 2x=0.36, 2x÷2=0.36÷2x=0.18;(4)6.2x-x=416, 5.2x=41...

x=9.2÷2-1.7 x=2.9

7x-8.4=2.1 7x=10.5 x=1.5

首先由题意得x+1≠0,x+7≠0,x+5≠0,x+3≠0, 即x≠-1,x≠-7,x≠-5,x≠-3,则先简化方程 (x+1+1)/(x+1)+(x+7+1)/(x+7)=(x+5+1)/(x+5)+(x+3+1)/(x+3) 即1+1/(x+1)+1+1/(x+7)=1+1/(x+5)+1+1/(x+3) 1/(x+1)+1/(x+7)=1/(x+5)+1/(x+3) 1/(x+1)-1/(x+3)=1...

7(x-1.2)=2.1 解:x-1.2=0.3 x=0.3+1.2 x=1.5

(X-1)/2+4=X-(X-2)/7 两边同乘以14 7(x-1)+56=14x-2(x-2) 7x+49=12x+4 5x=45 x=9

1) 设x/(x+1)=y 则原式为 y+4/y=4 (把4提取出来) 两边同乘以y ,则得到 y^2+4=4y 所以y^2-4y+4=0 解得y=2 所以x/(x+1)=2, 解得x=-2 2)由裂项法,(x+7)/(x+6)=1+1/(x+6) 可得 原式为 1+1/(x+6)+1+1/(x+8)=1+1/(x+9)+1+1/(x+5) 所以有 1/(x...

乘以x(x+1)(x-1)得 7(x-1)+(x+1)=6x 7x-7+x+1=6x 7x+x-6x=7-1 2x=6 x=3 经检验x=3是原方程的解

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