Question

Akar akar persamaan 2x2-6x+2m - 1 = 0 adalah a dan B.jika a = 2B,maka nilai m adalah

Answer 1

2x² - 6x + (2m-1) = 0

a + b = 3b = -b/a = 3
b = 1

a = 2 b = 2

nilai m :
(2m-1)/2 = ab
2m - 1 = 2.2
2m = 4 + 1
m = 5/2

Answer 2

2x² - 6x + 2m - 1 = 0

a + B = 6/2
    3B = 3
      B = 1

a = 2

a × B = ( 2m - 1 ) / 2
2 × 1 = ( 2m - 1 ) / 2
      4 = 2m - 1
   2m = 5
     m = 5/2