Jawabanmu

2014-03-01T08:21:41+07:00
Coba-coba, maaf kalau salah dan tolong di koreksi terlebih dahulu.
diket:  3X² - X + 4 = 0 jadi a= 3 , b=-1, c=4
α+β= -b/a= 1/3 , α.β= c/a= 4/3
dit: (α-3) dan (β-3)
jawab=  X² -{(α-3)+(β-3)} X + {(α-3)x(β-3)} = 0
X
² - {(α+β)-6}X + αβ-3α-3β+9 = 0
X² - (1/3-6)X + 4/3-3(α+β)+9 = 0
X² - (-5 2/3)X + 4/3-3(1/3)+9 = 0
X² + 5 2/3X + 9 1/3 = 0