16m²-12(m-1)(m-3)≧0
16m²-12(m-2+1)(m-2-1)≧0
把m-2设为A
16m²-12(A+1)(A-1)≧0
16m²-12(A²-1)≧0
16m²-12A²+12≧0
将m-2带入
16m²-12(m²-4m+4)+12≧0
4m²+4m-4+12≧0
m²+m≧-2
m²+m+(1/2)²≥-2/3
(m+1/2)²≥-2/3
∵(m+1/2)²≥0
∴此不等式无解
16m²-12(m-1)(m-3)≧0
16m²-12(m-2+1)(m-2-1)≧0
把m-2设为A
16m²-12(A+1)(A-1)≧0
16m²-12(A²-1)≧0
16m²-12A²+12≧0
将m-2带入
16m²-12(m²-4m+4)+12≧0
4m²+4m-4+12≧0
m²+m≧-2
m²+m+(1/2)²≥-2/3
(m+1/2)²≥-2/3
∵(m+1/2)²≥0
∴此不等式无解