Question 1105369
A machine has two wheels tangent to each other.  The distance between centers is 9 in.  The sum of the areas is 198 sq. in.  Find radius of each wheel, to the nearest hundredth of an inch.
----------
x + y = 9
pi*(x^2 + y^2) = 198
-------
x^2 + y^2 = 198/pi
y = 9-x
---
x^2 + 81-18x+x^2 = 198/pi
2x^2 - 18x + 81-198/pi = 0
2x^2 - 18x + 17.9746 = 0
*[invoke solve_quadratic_equation 2,-18,81-198/pi]
------------
x & y are the 2 solutions, they're interchangeable.
The sum of the 2 is 9.