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歡迎您訪問數學考題練習:解方程=的結果是!

數學考題練習:解方程=的結果是

更新時間:2024-01-12 14:08:20作者:貝語網校

解方程=的結果是

A.x=-2

B.x=2

C.x=4

D.無解

試題答案

D

試題解析

觀察可得最簡公分母是(2+x)(2-x),方程兩邊乘最簡公分母,可以把分式方程轉化為整式方程求解.

解答:方程的兩邊同乘(2+x)(2-x),得

8=2(2+x),

解得x=2.

檢驗:把x=2代入(2+x)(2-x)=0.

∴原方程的無解.

故選D.

點評:考查了解分式方程,注意:

(1)解分式方程的基本思想是“轉化思想”,把分式方程轉化為整式方程求解.

(2)解分式方程一定注意要驗根.

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