Input Format: Get a, b, and c as input.

Output Format:

Output “Yes” or “No” depending on if the given quadratic is factorable. If it is

factorable, output the roots in increasing order. If there are two of the exact same roots, only output it once. Round roots to the nearest hundredth.

Sample Input Sample Output

1 1 -1 Yes -1.00, 0.00

1 3 2 Yes -2.00, -1.00

2 1 2 No

In python 3:

import math

def quadratic(a, b, c):

   if (b ** 2) - (4 * a * c) < 0:

       return "No"

   root1 = round((-b + (math.sqrt((b ** 2) - (4 * a * c / (2 * a), 2)

   root2 = round((-b - (math.sqrt((b ** 2) - (4 * a * c / (2 * a), 2)

   lst = ([])

   lst.append(root1)

   lst.append(root2)

   lst.sort()

   return f"Yes {lst[0]}, {lst[1]}"

print(quadratic(1, 3, 2))

The print statement tests the function. I hope this helps!

answerpixels;

only #2 represents an object at rest on a table.

in #1, there is no normal force due to the table; the object is accelerating downward.

in #3, the vertical forces are not balanced; the object is accelerating downward.

in #4, neither the vertical nor the horizontal forces are balanced. the object is accelerating upwards and to the right.