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

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

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 3E: The number of ways of choosing r objects from n objects is called the number of ___________ of n...
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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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