已知a²-6a+9与(b-1)²则式子(a/b-b/a)/(a+b)的值为______已知a²-6a+9与(b-1)²互为相反数则式子(a/b-b/a)/(a+b)的值为_____
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/09 01:43:19
![已知a²-6a+9与(b-1)²则式子(a/b-b/a)/(a+b)的值为______已知a²-6a+9与(b-1)²互为相反数则式子(a/b-b/a)/(a+b)的值为_____](/uploads/image/z/2590614-54-4.jpg?t=%E5%B7%B2%E7%9F%A5a%26%23178%3B-6a%2B9%E4%B8%8E%28b-1%29%26%23178%3B%E5%88%99%E5%BC%8F%E5%AD%90%28a%2Fb-b%2Fa%29%2F%28a%2Bb%29%E7%9A%84%E5%80%BC%E4%B8%BA______%E5%B7%B2%E7%9F%A5a%26%23178%3B-6a%2B9%E4%B8%8E%28b-1%29%26%23178%3B%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%E5%88%99%E5%BC%8F%E5%AD%90%28a%2Fb-b%2Fa%29%2F%28a%2Bb%29%E7%9A%84%E5%80%BC%E4%B8%BA_____)
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已知a²-6a+9与(b-1)²则式子(a/b-b/a)/(a+b)的值为______已知a²-6a+9与(b-1)²互为相反数则式子(a/b-b/a)/(a+b)的值为_____
已知a²-6a+9与(b-1)²则式子(a/b-b/a)/(a+b)的值为______
已知a²-6a+9与(b-1)²互为相反数
则式子(a/b-b/a)/(a+b)的值为_____
已知a²-6a+9与(b-1)²则式子(a/b-b/a)/(a+b)的值为______已知a²-6a+9与(b-1)²互为相反数则式子(a/b-b/a)/(a+b)的值为_____
因为a²-6a+9=(a-3)²与(b-1)²互为相反数,即两个非负数互为相反数,那么他们都为零.
所以有,a-3=0,b-1=0 得,a=3,b=1
(a/b-b/a)/(a+b)=((a²-b²)/ab)/(a+b)=(a²-b²)/(ab(a+b))=((a+b)(a-b))/(ab(a+b))=(a-b)/ab
带入数字得:2/3