方程(x-2)/(x+2)+m/(x²-4)=(x+2)/(x-2)无解,求实数m的值,用初二的知识来做,
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![方程(x-2)/(x+2)+m/(x²-4)=(x+2)/(x-2)无解,求实数m的值,用初二的知识来做,](/uploads/image/z/5898730-58-0.jpg?t=%E6%96%B9%E7%A8%8B%28x-2%29%2F%28x%2B2%29%2Bm%2F%28x%26%23178%3B-4%29%3D%28x%2B2%29%2F%28x-2%29%E6%97%A0%E8%A7%A3%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%80%BC%2C%E7%94%A8%E5%88%9D%E4%BA%8C%E7%9A%84%E7%9F%A5%E8%AF%86%E6%9D%A5%E5%81%9A%2C)
方程(x-2)/(x+2)+m/(x²-4)=(x+2)/(x-2)无解,求实数m的值,用初二的知识来做,
方程(x-2)/(x+2)+m/(x²-4)=(x+2)/(x-2)无解,求实数m的值,用初二的知识来做,
方程(x-2)/(x+2)+m/(x²-4)=(x+2)/(x-2)无解,求实数m的值,用初二的知识来做,
先通分:
(x-2)^2/(x²-4)+m/(x²-4)=(x+2)^2/(x²-4) 分母为0是无意义
当x等于正负2时无解,所以x等于正负2带入原方程,得m=16.-16
答案不唯一,是8x(x不等于正负2)
①分母有理化;都化成x²-4 ;
② 得到x不等于正负2;
③ 约去x²-4;
④
(x-2)²+m=(x+2)²
求得m=8x ;