Question

Determine os números reais p e q de modo que [ 3p – 2, (p + 2q)/3] = (4,9)

Answer 1

15x^2 - 11x + 2 = 0

x = (11 +- √121 - 120)/30
x = (11 +- 1)/30

x' = (11+1)/30 = 12/30 = 2/5
x" = (11-1)/30 = 10/30 = 1/3

Entao, se p for 2/5 q sera 1/3 e se p for 1/3 q sera 2/5.

1/p + 1/q = 1/(1/3) + 1/(2/5)
3 + 5/2 = 11/2
1/p + 1/q = 11/2