Akar² persamaan 2x²-6x+2m-1=0 adalah a dan b ,jika a =2b,maka nilai m adalah…
Jawaban Terkonfirmasi
2x² – 6x + 2m – 1 = 0
a = 2
b = -6
c = 2m – 1
x1 + x2 = -b/a
a + b = -(-6)/2
a + b = 3
2b + b = 3
3b = 3
b = 3 : 3
b = 1
a = 2b
a = 2 × 1
a = 2
x1 . x2 = c/a
a . b = c/a
2 . 1 = (2m – 1)/2
2 . 2 = 2m – 1
4 = 2m – 1
4 + 1 = 2m
5 = 2m
m = 5 : 2
m = 2,5