jika x1 dan x2 merupakan akar-akar persamaan kuadrat 2x²+x-6=0 maka nilai 1/x1 + 1/x2 adalah

Bab Persamaan Kuadrat

2x^2 + x - 6 = 0
2x^2 + 4x - 3x - 6 = 0
2x(x + 2) - 3(x + 2) = 0
(2x - 3)(x + 2) = 0

x1 = 3/2
x2 = -2

Nilai 1/x1 + 1/x2
= 1/(3/2) + 1/-2
= 2/3 - 1/2
= 4/6 - 3/6
= 1/6

2x²+x-6 (ax+bx-c)
x1+x2 = -b/a = -1/2
x1. x2 = c/a = -6/2 = -3
1/x1 + 1/x2 = x1 +x2 / x1. x2
(samakan pembilang)
= -1/2 / -3 = -1/2 . -1/3
= 1/6