misal bilangan pertama = p maka bilangan kedua = 1/p
p + 1/p = 13/6
p²/p + 1/p = 13/6
(p² + 1)/p = 13/6
6(p² + 1) = 13p
6p² + 6 = 13p
6p² - 13p + 6 = 0
(3p -2 )(2p - 3) = 0
3p - 2 = 0
3p = 2
p = 2/3
2p - 3 = 0
2p = 3
p = 3/2
jadi bilangan tersebut adalah 2/3 dan 3/2
jawaban (A)
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misal bilangan pertama = p maka bilangan kedua = 1/p
p + 1/p = 13/6
p²/p + 1/p = 13/6
(p² + 1)/p = 13/6
6(p² + 1) = 13p
6p² + 6 = 13p
6p² - 13p + 6 = 0
(3p -2 )(2p - 3) = 0
3p - 2 = 0
3p = 2
p = 2/3
2p - 3 = 0
2p = 3
p = 3/2
p = 3/2
jadi bilangan tersebut adalah 2/3 dan 3/2
jawaban (A)