The sum of the reciprocals of two consecutive odd integers is 28/195. find the two integers.

Question

Kai Harvey

Mathematics

31 May, 22:01

The sum of the reciprocals of two consecutive odd integers is 28/195. find the two integers.

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Answers (1)

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Kristen Mccullough · Answer 1

1/X + 1/X+2 = 28/195

Common denominator. 195x (X+5)

195 (X+2) + 195x = 28x (X+2)

28x-^2+56x-390c-390=0

Do quadratic formula

- (-334) + - sq rt (-334) ^2-4 (28) (-390). / 56

334 + 394 / 56

728/56 = 13

Answer 1/13, 1/15 / >

1/13+1/15 = 28/195

15/195+13195 = 28/195