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If -7[img]2014m5x/ct_egreqj_egreqjs_0024_20132[/img]x[img]2014m5x/ct_egreqj_egre
If -7[img]2014m5x/ct_egreqj_egreqjs_0024_20132[/img]x[img]2014m5x/ct_egreqj_egre
游客
2025-02-24
47
管理
问题
If -7
x
5 and -3
y
4, what is the greatest possible value of(y-x)(x+y)?
选项
答案
99
解析
The correct answer is 99. Because you are looking for the greatest value of(y- x)(x + y), your goal is to make x + y as big as possible and y- x as big as possible. Therefore, from the range of values given, choose x= 5 and y=4 to get x + y=9, and x= -7 and y=4 to get y-x=ll. The greatest value of(y-x)(x + y)is(9)(11)= 99.
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