方程 5/(x-2)+3/(2-x)=2 计算 (3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
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方程 5/(x-2)+3/(2-x)=2 计算 (3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
方程 5/(x-2)+3/(2-x)=2 计算 (3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
方程 5/(x-2)+3/(2-x)=2 计算 (3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
方程 5/(x-2)+3/(2-x)=2
两边乘以x-2得
5-3=2(x-2)
∴x=1
经检验:x=1是方程的解
∴方程的解是x=1
计算 (3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
=(3x-2)/[(x-2)(x+1)]+[x/(x+1)]/[x/(x-1)]
=(3x-2(/[(x-2)(x+1)]+(x-1)/(x+1)
=[(3x-2)+(x-2)(x-1)]/[(x-2)(x+1)]
=x²/(x²-x-2)
方程 5/(x-2)+3/(2-x)=2
两边乘以x-2得
5-3=2(x-2)
2=2x-4
2x=6
x=3
(3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]
= (3x-2)/[(x+1)(x-2)]+(x-1)/(x+1)
=(3x-2)/[(x+1)(x-2)]+(x-1)(x-2)/(x+1)(x-2)
=x²/(x²-x-2)
将x=3代入,得
3²/(3²-3-2)
=9/4
5/(x-2)+3/(2-x)=2
2/(x-2)=2
x=3带入(3x-2)/(x^2-x-2)+[1-1/(x+1)]/[1+1/(x-1)]