已知,实数a、b满足(4a-b+11)²+√1/3b-4a-3 =0,求a·√a·(√b÷√1/a).

问题描述:

已知,实数a、b满足(4a-b+11)²+√1/3b-4a-3 =0,求a·√a·(√b÷√1/a).
已知,实数a、b满足(4a-b+11)²+√1/3b-4a-3 =0,求a·√a·(√b÷1/√a).

(4a-b+11)²+√1/3b-4a-3 =0(4a-b+11)²≥0且√(1/3b-4a-3)≥0所以(4a-b+11)²=0 且 √(1/3b-4a-3)=04a-b+11=0 且 1/3b-4a-3=0a=1/4,b=12a·√a·(√b÷√1/a)=1/4*1/2*(2√3/2)=√3/8