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数学
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已知实数m,n,k满足m-n=8,mn+k的2次=-16.计算m+n+k的值
人气:228 ℃ 时间:2020-01-01 23:14:27
解答
因为m-n=8,
所以(m-n)^2=m^2-2mn+n^2=64 (1)
又mn+k^2=-16,则有4mn+4k^2=64 (2)
(1)+(2)得
m^2+2mn+n^2+4k^2=0
即:(m+n)^2+4k^2=0
所以得出:K=0,m+n=0
可以算出:m+n+k=0
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