16m²-12(m-1)(m-3)≧0怎么算
1个回答

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