Please answer the following questions. Explain your solution clearly. Your submission must clearly show the screen shots of Front Panel (while the VI is running), the Diagram Panel and clear explanation.

1. Design a VI that computes the roots of a quadratic equation ax² + bx + c = 0 where a, b, c are real numbers, and a 0. Your VI must be able to address the following:
   1. If a = 0, your VI must print a message Equation is no longer quadratic; it is linear with only one root.
   2. Must be able to compute both real and complex roots.

Use the following equation and test your VI for the following cases (attach screen shots for all test cases):

Equation:

a 0

x = b b 2 4 a c 2 a

where the symbol "" indicates that both

x = b + b 2 4 a c 2 a and x = b b 2 4 a c 2 a

Test Cases:

1. a = 0, b = 1, c =2
2. a = 1, b = 3, c = 1
3. a = 2, b = 2, c = 3