SOLUTION: there are two consecutive positive odd numbers. the sum of the square of the large number and 4 times the smaller number is 349. find the larger number

Question 953727: there are two consecutive positive odd numbers. the sum of the square of the large number and 4 times the smaller number is 349. find the larger number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
here are two consecutive positive odd numbers.
the sum of the square of the large number and 4 times the smaller number is 349.
n = the larger number
(n-2) = the smaller
n^2 + 4(n-2) = 349
n^2 + 4n - 8 = 349
n^2 + 4n - 8 - 349 = 0
n^2 + 4n - 357 = 0
You can use the quadratic formula here a=1, b=4, c=-357, but this will factor:
(n+21)(n-17) = 0
The positive solution is what we want here
n = 17 is the larger number
;
:
You can see if this checks out: 17^2 + 4(15) =

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