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