已知实数a,b,且满足(a-1\2)的二次方与根号2b+a互为相反数,求a-b\ab的值
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![已知实数a,b,且满足(a-1\2)的二次方与根号2b+a互为相反数,求a-b\ab的值](/uploads/image/z/628861-13-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0a%2Cb%2C%E4%B8%94%E6%BB%A1%E8%B6%B3%28a-1%5C2%29%E7%9A%84%E4%BA%8C%E6%AC%A1%E6%96%B9%E4%B8%8E%E6%A0%B9%E5%8F%B72b%2Ba%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82a-b%5Cab%E7%9A%84%E5%80%BC)
已知实数a,b,且满足(a-1\2)的二次方与根号2b+a互为相反数,求a-b\ab的值
已知实数a,b,且满足(a-1\2)的二次方与根号2b+a互为相反数,求a-b\ab的值
已知实数a,b,且满足(a-1\2)的二次方与根号2b+a互为相反数,求a-b\ab的值
解析
原始写作
(a-1/2)²+根号2b+a=0
绝对值大于等于0
所以
a-1/2=0
a=1/2
2b+a=0
2b=-1/2
b=-1/4
(a-b)/ab=(1/2+1/4)/(-1/8)
=(3/4)*-8
=-6