Jawabanmu

2014-02-09T22:20:39+07:00
Jawabannya untuk soal di atas x2 - 30x- 1/3 = 0
2014-02-09T22:24:56+07:00
A = 2, b =5, c = - 6
α + β = - b/a = -5/2
α.β = c/a = -6/2 = -3
maka nilai
1/α+1/β = (α + β)/α.β = -5/2/-3 = 5/6
1/α.1/β = 1/α.β = -1/3
jadi persamaan kuadrat baru :
x^2 - (jumlah akar)x + (perkalian akar) = 0
x^2 - (1/α+1/β) x + 1/α.1/β = 0
x^2 - 5/6x +(-1/3) = 0 kedua ruas kali 6
6x^2 - 5x - 2 = 0