SOLUTION: A polygon has 35 diagonals. How many sides does it have?
Algebra
->
Quadratic Equations and Parabolas
-> SOLUTION: A polygon has 35 diagonals. How many sides does it have?
Log On
Quadratics: solvers
Quadratics
Practice!
Practice
Answers archive
Answers
Lessons
Lessons
Word Problems
Word
In Depth
In
Click here to see ALL problems on Quadratic Equations
Question 251310
:
A polygon has 35 diagonals. How many sides does it have?
Answer by
edjones(8007)
(
Show Source
):
You can
put this solution on YOUR website!
Let d=number of diagonals and n=number of sides
(n(n-3))/2=d
(n^2-3n)/2=35
.5n^2-1.5n-35=0
n^2-3n-70=0
(n-10)(n+7)=0
n=10
.
Ed