已知a²-6a+9与|b-1互为相反数,则式子(a/b-b/a)/(a +b)的值为多少?
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![已知a²-6a+9与|b-1互为相反数,则式子(a/b-b/a)/(a +b)的值为多少?](/uploads/image/z/2642739-51-9.jpg?t=%E5%B7%B2%E7%9F%A5a%26%23178%3B-6a%2B9%E4%B8%8E%7Cb-1%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%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%A4%9A%E5%B0%91%3F)
已知a²-6a+9与|b-1互为相反数,则式子(a/b-b/a)/(a +b)的值为多少?
已知a²-6a+9与|b-1互为相反数,则式子(a/b-b/a)/(a +b)的值为多少?
已知a²-6a+9与|b-1互为相反数,则式子(a/b-b/a)/(a +b)的值为多少?
a^2-6a+9=(a-3)^2与Ib-1I互为相反数,
所以a-3=0b-1=0
a=3,b=1
(a/b-b/a)/(a+b)
=(3-1/3)/(1+3)
=8/3/4
=2/3