谁帮我解决下这题:a,b为有理数,且满足:a的平方+2b+根号2倍的b=17-4倍的根号2,求a+b的值
人气:322 ℃ 时间:2019-08-19 15:32:39
解答
原式可化为:
a^2 +(2 +√2)b = 25 +(2 +√2)*(-4),
即有:a^2 =25,b = -4,
所以:a = ±5,b = -4.
故:当a =2时,a +b =5 -4 = 1,
当a = -2时,a +b = -5 -4= -9
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