题意为:方程x²-4mx+2m+6=0在(-∞,0)上有解、
△=16m^2-4(2m+6)=8(2m^2-m-3)=8(m+1)(2m-3)≥0
m≤-1或m≥3/2
若在(-∞,0)上有1个解,
△≥0
x1x2=2m+60
x1+x2=4m0
解得-3
题意为:方程x²-4mx+2m+6=0在(-∞,0)上有解、
△=16m^2-4(2m+6)=8(2m^2-m-3)=8(m+1)(2m-3)≥0
m≤-1或m≥3/2
若在(-∞,0)上有1个解,
△≥0
x1x2=2m+60
x1+x2=4m0
解得-3