设a<b<0,若4a+9b=37ab,则2a+3b除以2a-3b的值为多少?
问题描述:
设a<b<0,若4a+9b=37ab,则2a+3b除以2a-3b的值为多少?
答
4a^2+9b^2=37ab (2a+3b)^2=37ab+12ab=49ab 2a+3b=-7ab (2a-3b)^2=37ab-12ab=25ab 2a-3b=5ab或-5ab (2a+3b)/(2a-3b)=7/5或-7/5