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数学
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已知实数x,y满足x
2
+3x+y-3=0,则x+y的最大值为 ___ .
人气:238 ℃ 时间:2020-04-12 18:08:48
解答
由x
2
+3x+y-3=0得
y=-x
2
-3x+3,把y代入x+y得:
x+y=x-x
2
-3x+3=-x
2
-2x+3=-(x+1)
2
+4≤4,
∴x+y的最大值为4.
故答案为:4.
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