SOLUTION: One number is 3 more than another number. The sum of their reciprocals is 1/2. what are the numbers?

Question 431489: One number is 3 more than another number. The sum of their reciprocals is 1/2. what are the numbers?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the numbers and
given:
(1)
(2)
---------------------
Multiply both sides of (2) by
(2)
By substitution:
(2)
(2)
(2)
Complete the square

Take the square root of both sides

and also

And, from (1),
(1)

The numbers are 1 and -2
check answer:
(2)
(2)

OK
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