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15问答网 > 解方程：（2240⼀x）－2240⼀x+20＝2【过程要详】

解方程：（2240⼀x）－2240⼀x+20＝2【过程要详】

2025-02-13 19:32:21

推荐回答（2个）

回答1：

题目有问题吧，是不是2240/X-2240/（X+20）＝2

如果是的话，题目可简化为（X-140）（X+160）＝0

X＝140或X＝-160

回答2：

2240/x-2240/（x+20）＝2
1120/x-1120/(x+20)=1 两边乘x(x+20)
1120(x+20)-1120x=x^2+20x
1120x+22400-1120x=x^2+20x
x^2+20x-22400=0
(x+160)(x-140)=0
x1=-160 舍 x2=140

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