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

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The discussion revolves around solving the equation for the number of sides (n) in a polygon given that it has 119 diagonals. The equation is derived from the formula for the number of diagonals, d = n^2 - 3n / 2. To find n, the equation is rewritten as 2*119 = n^2 - 3n, leading to a quadratic equation that can be solved using the quadratic formula. The correct approach involves rearranging the equation and applying the quadratic formula to determine the value of n.

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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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