Whiteboard Pop Quiz - Conditionals

Write a program Quadratics.java that asks a user to enter integer values a, b, and c for a quadratic equation of the form y = ax² + bx + c. The program then will print out the root(s) of the equation, or indicate that there are no roots.

Include the following static methods in your solution:

• getNumRoots(int a, int b, int c)
  Returns the number of roots--0, 1, or 2--that the quadratic equation has. (Determine this by checking to see if b² - 4ac is greater than 0 (two roots), equal to 0 (one root), or less than 0 (no roots).
• getLeftRoot(int a, int b, int c)
  Returns the left root using the subtraction portion of the quadratic formula: (-b - √(b² - 4ac)) / (2a). Note this returns a decimal value, even though parameters are integers.
• getRightRoot(int a, int b, int c)
  Returns the left root using the subtraction portion of the quadratic formula: (-b + √(b² - 4ac)) / (2a). Note this returns a decimal value, even though parameters are integers.
• Your main function should use a Scanner to get coefficients, then call getNumRoots to determine how many roots there are. Depending on that result, the main method will call getLeftRoot and/or getRightRoot methods as needed.

Sample output (note that some rounding errors may occurs--this is normal):

Trial 1 (2 real roots)

Welcome to the Quadratic Solver!
Enter an a value: 1
Enter a b value: -2
Enter a c value: -15
Your left root: -3.0
Your right root: 5.0

Trial 2 (1 real root)

Welcome to the Quadratic Solver!
Enter an a value: 4
Enter a b value: -12
Enter a c value: 9
Your single root: 1.5

Trial 3 (no real roots)

Welcome to the Quadratic Solver!
Enter an a value: 5
Enter a b value: 0
Enter a c value: 6
Your quadratic has no real roots