已知整数x、y互为相反数,且(2x+y)(x+2y)与-25分之1的倒数相等,试求x-y的值
人气:318 ℃ 时间:2020-06-19 19:19:57
解答
已知整数x、y互为相反数,且(2x+y)(x+2y)与-25分之1的倒数相等
所以,x+y=0
(2x+y)(x+2y)=-25
2x^2+5xy+2y^2+25=0
2(x+y)^2+xy=-25
xy=-25
所以x=5时y=-5,则x-y=10;
x=-5时y=5,则x-y=-10.
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