SOLUTION: The product of two consecutive odd integers is 1023. Find the sum of the two integers.

Question 1142963: The product of two consecutive odd integers is 1023. Find the sum of the two integers.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the first of the two consecutive odd integers. Then the second of the two must be . The product of the two is and this is given to equal 1023. So:

Which is to say:

Solve the quadratic and sum the two roots.

Hint: , so find the odd integers on either side of 32.

John

My calculator said it, I believe it, that settles it

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The product of two consecutive odd integers is 1023. Find the sum of the two integers.
------------------
(x-1)*(x+1) = 1023

x = 32
==============
--> 31*33 = 1023
----------------------
As the other tutor said:
=~ 32
--> 31 & 33
That's the best method.
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