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要使方程x+px+q = 0的两根a、b满足lg(a+b) = lga+lgb,...

要使方程x6ec8aac122bd4f6e+px+q = 0的两根a、b满足lg(a+b) = lga+lgb,试确定p和q应满足的关系.

 

p+q = 0且q>0 【解析】由已知得,  又lg(a+b) = lga+lgb,即a+b = ab, 再注意到a>0,b>0,可得-p = q>0, 所以p和q满足的关系式为p+q = 0且q>0.
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