Question

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

Answer 1

Answer 2

2x^2 - 6x + (2m - 1) = 0

a = 2 
b = -6 
c = 2m -1 

a + B = -b/a = -(-6)/2 = 6/2 = 3
2B + B = 3
3B = 3, B = 1

a = 2B = 2x1 = 2
axB = c/a = (2m-1)/2 
2x1 = (2m-1)/2 
2 = (2m-1)/2
4 = 2m -1
5 = 2m 
5/2 = m 

(semoga bermanfaat :) )