已知实数a、b满足a²+2a=2,b²+2b=2,且a不等于b,求1/a+1/b
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已知实数a、b满足a²+2a=2,b²+2b=2,且a不等于b,求1/a+1/b
已知实数a、b满足a²+2a=2,b²+2b=2,且a不等于b,求1/a+1/b
已知实数a、b满足a²+2a=2,b²+2b=2,且a不等于b,求1/a+1/b
a^2+2a=2,b^2+2b=2
a,b是方程x^2+2x=2,即:x^2+2x-2=0的根
所以,a+b=-2,ab=-1
1/a+1/b=(a+b)/ab=-2/(-1)=2