Question

Tentukan batas-batas nilai m supaya grafik y=(m-2)x²-2mx+(m+6) seluruhnya diatas sumbu X!

Answer 1

A = (m-2)
b = (-2m)
c = (m+6)
syarat grafik diatas sumbu x  D < 0
b^2 - 4ac < 0
(-2m)^2 - 4(m-2)(m+6) < 0
4m^2 - 4(m^2 + 4m -12) < 0
4m^2 - 4m^2 - 16 m + 48 < 0
-16m < - 48
m > 3