若2a=3b则2a^2-ab+3b^2/3a^2-5ab+b^2的值为
问题描述:
若2a=3b则2a^2-ab+3b^2/3a^2-5ab+b^2的值为
答
a/b=3/2
所以
原式=[2(a/b)^2-(a/b)+3]/[3(a/b)^2-5(a/b)+1]
=[2×9/4-3/2+3]/[3×9/4-5×3/2+1]
=6/[1/4]
=24