已知实数a,b满足1/a²+1/a-3=0,b²+b-3=0,且ab≠1,试求a²b²+1/a²的值
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已知实数a,b满足1/a²+1/a-3=0,b²+b-3=0,且ab≠1,试求a²b²+1/a²的值
已知实数a,b满足1/a²+1/a-3=0,b²+b-3=0,且ab≠1,试求a²b²+1/a²的值
已知实数a,b满足1/a²+1/a-3=0,b²+b-3=0,且ab≠1,试求a²b²+1/a²的值
(1/a)^2+(1/a)-3=0
b^2+b-3=0
1/a和b是方程X^2+X-3=0两个不等根
(a²b²+1)/a²=b^2+(1/a)^2=(b+1/a)^2-2b(1/a)=(-1)^2-2*(-3)=7
1/a*b= -3 1/a+b=-1