Solve for n: 119 = n^2 - 3n / 2

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d=n^2 - 3n / 2

where d = number of diagonals
and n = the number of sides of the polygon.

A polygon has 119 diagonals, how many sides does it have?

119 = n^2 - 3n / 2

I am not sure how to do this? can someone please help?

sorry this isn't physics related

I know I need to use the quadratic formula, but how?
 
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d=n^2 - 3n / 2 this should be d = ( n^2 - 3n)/2
Wright the given equation 119 = n^2 - 3n / 2 as 2*119 = n^2 - 3n and solve the quadritic equation to get the value of n.
 
thank you very much
 

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