Problem b (PA3b.java) Write a program that solves a quadratic equation of the form:

Specifically, the user will input the values of a, b, and c. Your program must then calculate and output the roots of the equation, following these rules. First, calculate the discriminant:

If the discriminant is negative, the roots are imaginary. Print out a message informing the user of this and stop the program.

For example: Enter a b c: 1 1 4 Roots: imaginary

If the discriminant is exactly zero, there is one root. Inform the user of this one root: . You must provide exactly two decimal places in your response, rounding as necessary.

For example: Enter a b c: 1 4 4 Root: -2.00

If the discriminant is positive, there are two roots.

The values of the roots are: !"! #$%&'$($)*)+

,* and

". #$%&'$($)*)+

,* . Please print the roots in an increasing order (i.e. the smaller root first, followed by the larger). You must provide exactly two decimal places in your response, rounding as necessary.

For example: Enter a b c: 1 6 5

Roots: -5.00, -1.00

Note that the JUnit tests, and grading, will be very picky about exact spacing, spelling, capitalization, and number formatting.

ax2 + bx + c = 0

d = b2 _ 4ac

_b/2a