Find the number of sides for a polygon that has 14 diagonals.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The number of diagonals D for a polygon of n sides is given by D=(n(n-3)/2. Find the number of sides for a polygon that has 14 diagonals.

 

(My answer is the square root of 28 + 3n but it is supposed to be a whole number, not sure where I went wrong)

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