SOLUTION: Find two positive real numbers that differ by 1 and have a product of 1.

Question 42036: Find two positive real numbers that differ by 1 and have a product of 1.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Let 2 numbers be x and y

We are told:
x-y=1

and
xy=1

Right then:
xy=1
means that x=1/y

so we then get from x-y=1 that
(1/y)-y=1
-->

and re-arranging, gives

Not easy to factorise, so use the quadratic formula:

Remember, we want positive answers, so of the 2 answers quoted above, only is acceptable.

Now, if x-y=1 then x = 1+y. So,

jon.

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