中4數學,解方程

2008-05-14 5:30 am
1. 1/x + 1/x+2 = 2

2. 1/x-1 +1/x=1

回答 (2)

2008-05-14 8:01 am
✔ 最佳答案
1. 1/x + 1/x+2 = 2
x+2+x=2x(x+2)
2x+2=2x2+4x
2x2+4x-2=0
x2+2x-1=0
x2+2x+1=2
(x+1)2=2
x+1=√2
x=-1√2

2. 1/x-1 +1/x=1
x+(x-1)=x(x-1)
2x-1=x2-x
x2-3x+1=0
x2-3x+9/4=5/4
(x+3/2)2=5/4
x+3/2=√5/2
x=(-3√5)/2
2008-05-14 5:44 am
1. 2/x =0
x= error
2. 2/x = 2
x=1


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