Question

Nilai m agar persamaan mx2-2mx+2m=3 mempunyai dua akar sama adalah?

a.m=0 atau m=3
b.m=3
c.0 d.m<0 atau m>3
e.m>0 atau m<-3

minta caranya ya

Answer 1

Syarat D = 0
mx²-2mx + 2m = 3
mx² - 2mx +2m -3 = 0
a = m, b = -2m , c = 2m - 3

D = 0
b²-4ac = 0
(-2m)² -4.m.(2m - 3) = 0
4m² - 8m² + 12m = 0
-4m² + 12m = 0
m(-4m + 12) = 0
m = 0  v -4m + 12 = 0 ===> m = 3