2YX^2+(2Y-3)X-3Y-4=0
①当Y=0时,X=-4/3,
②当Y≠0时,
Δ=(2Y-3)^2+8(3Y+4)
=4Y^2+12Y+32
=4(Y+3/2)^2+23
≥23>0.
∴Y的值域为全体实数.