SOLUTION: The product of two consecutive odd number is 6723. What is greater number?

Question 1064926: The product of two consecutive odd number is 6723. What is greater number?
Found 4 solutions by josmiceli, josgarithmetic, MathTherapy, Alan3354:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the consecutive odd numbers be
and
----------------------

Complete the square

and

-------------------
The larger number is 83
------------------------
check:

OK
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
-81 and -83
OR
81 and 83

Two consecutive odd numbers for any integer n:
2n+1 and 2n+3.

Factorize or use solution for quadratic equation,
n=-42 or n=40.
Evaluate 2n+1 and 2n+3.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
The product of two consecutive odd number is 6723. What is greater number?

Take the square root of 6,723, which is
Therefore, integers are: . You should be able to tell the LARGER of each pair.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If you want to do it the hard way, use n-1 and n+1
Not n and n+2
=====================
(n-1)*(n+1) = n^2 - 1 = 6723

n = �68
etc

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