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数学
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若实数a,b满足a2=2a+1,b2=2b+1,则a+b=?
人气:354 ℃ 时间:2019-12-07 03:04:48
解答
a2=2a+1,
b2=2b+1
相减
(a-b)(a+b)=2(a-b)
(1) a-b=0 a=b
a=b时a,b是方程 x^2-2x+1=0两根,则a+b=2
(2) 或 a+b=2
所以a+b=21、(1) a-b=0a=b怎么来的?2、好像还有一种答案(a-b)(a+b)=2(a-b)(a-b)(a+b)-2(a-b)=0(a-b)(a+b-2)=0a=b或a+b=2
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