Question

Akar persamaan kuadrat 2x²-9x+3m-2=0 adalah 1/2. nilai m adalah....

Answer 1

1/2 adalah akar dari 2x²-9x+3m-2 = 0, maka:

2x²-9x+3m-2 = 0
2(1/2)²-9(1/2)+3m-2 = 0
2(1/4)-9/2+3m-2 = 0
1/2-9/2+3m-2 = 0
-8/2+3m-2 = 0
-4+3m-2 = 0
-6+3m = 0
3m = 6
m = 2

semoga membantu :)