已知x^2-5xy+6y^2=0,求x^2+3xy/2y^2的值/是分数线

已知x^2-5xy+6y^2=0,求x^2+3xy/2y^2的值/是分数线
已知x^2-5xy+6y^2=0,求x^2+3xy/2y^2的值
/是分数线

已知x^2-5xy+6y^2=0,求x^2+3xy/2y^2的值/是分数线
因为x^2-5xy+6y^2=0,
所以(x-2y)(x-3y)=0,
所以x-2y=0或x-3y=0,
所以x=2y或x=3y,
当x=2y时,
(x^2+3xy)/(2y^2)
=(4y^2+6y^2)/(4y)^2
=5/2;
当x=3y时,
(x^2+3xy)/(2y^2)
=(9y^2+9y^2)/(4y^2)
=9/2.