Question

a＞b＞0,求a+b\a-b的值.a的平方加b的平方等于3ab

Answer 1

a+b>0,a-b>0

(a+b)/(a-b)>0

(a+b)/(a-b)=√((a^2+b^2+2ab)/(a^2+b^2-2ab))=√(3ab+2ab)/(3ab-2ab)=√5