Solve a Quick Math Question: How Many Sides in a Polygon w/ 119 Diagonals?

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To determine the number of sides in a polygon with 119 diagonals, the formula d = n(n-3)/2 is used, where d represents the number of diagonals and n the number of sides. By substituting 119 for d, the equation becomes 119 = n(n-3)/2. This leads to the quadratic equation n^2 - 3n - 238 = 0. Solving this equation using the quadratic formula will yield the value of n, indicating the number of sides in the polygon. The discussion emphasizes the need for assistance in solving this quadratic equation.
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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
 
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An n-sided polygon has this many diagonals:

\frac{n(n-3)}{2}

Solve for n.
 
get_rekd said:
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
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