Question

Akar-akar persamaan kuadrat 3x^2 - x - 15 =0 adalah p dan q. Nilai p / q + q / p =......

Answer 1

A= 3, b = -1, c = -15
p + q = -b/a = 1/3 dan pq = c/a = -15/3 = -5

p/q + q/p = (p^2 + q^2)/pq
= [(p + q)^2 - 2pq) / pq
= [1/9 - 2(-5)] / -5
= [ 1/9 + 10] / -5
= (91/9) / (-5)
= - 91/45