y除与根号下(16+y²)=-5分之2倍根号下5
人气:444 ℃ 时间:2020-04-24 17:54:20
解答
y/√(16+y^2)=-2√5/5 (1)
两边平方:y^2/(16+y^2)=4/5
令:y^2=u u/(16+u)=4/5
整理后:5u=64+4u
解出:u=64
再解出:y=±8
两边平方运算引起增根:去掉+8的根,
方程(1)的根为:y= -8 (2)
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