Question 3 Solving quadratic equation Write a C program, named quadratice, to solve the quadratic equation ax+bx+c = 0 of given coefficients a, b and c. When running the program, it prompts for the input ol coefficients a, b, c as the float type numbers. After inputting three float numbers, it computes and prints out the solutions, then prompts for another round of inputting. Your program will quit when getting input 0,0,0. Your program should handle four situations: 1. a=0, not a quadratic equation; 2. b2 - 4ac = @, the equation has two equal roots; 3. b2 - 4ac e, the equation has distinct real roots. Your program should be robust for invalid inputs. The output formats of different coefficients should be as shown in the following test. public test gec quadratic.c -o quadratic quadratic Please enter the coefficients a,b,c 1,2,1 The equation has two equal real roots x-1.000000 Please enter the coefficients a,b,c 1,2,2 The equation has two complex roots real:-1.000000 imaginary:1.000000 Please enter the coefficients a,b,c 2,6,1 The equation has two distinct real roots xl:-0.177124 x2 :-2.822875 Please enter the coefficients a,b,c 0,1,2 input not a quadratic equation Please enter the coefficients a,b,c a,a,a