2x²-4x+1=0,
则:lga+lgb=2;(lga)*(lgb)=1/2
∴lg(ab)=lga +lgb=2;
∴(lga/b)²=(lga-lgb)²=(lga+lgb)²-4(lga)*(lgb)=2²-4*(1/2)=2;
所以原式=2*2²=8
2x²-4x+1=0,
则:lga+lgb=2;(lga)*(lgb)=1/2
∴lg(ab)=lga +lgb=2;
∴(lga/b)²=(lga-lgb)²=(lga+lgb)²-4(lga)*(lgb)=2²-4*(1/2)=2;
所以原式=2*2²=8