How to keep my complex root answers un-simplified?

I've created a formula to calculate complex roots in editor and have the following:

a=input('Enter the value for a: '); 
b=input('Enter the value for b: '); 
c=input('Enter the value for c: '); 
if b^2 > 4*a*c 
  root_1=(-b+sqrt(b^2-4*a*c))/2*a; 
  root_2=(-b-sqrt(b^2-4*a*c))/2*a; 
  fprintf('\n') 
  disp('Roots are real and distinct:')  
  fprintf(1,'Root1= %0.0f \n',root_1); 
  fprintf(1,'Root2= %0.0f \n',root_2);
elseif b^2 == 4*a*c
  root_1=-b/(2*a); 
  root_2=-b/(2*a); 
  fprintf('\n') 
  disp('Roots are repeated:') 
  fprintf(1,'Root1=Root2= %0.0f \n',root_1); 
elseif b^2 < 4*a*c 
  root_1=(-b/2*a)+(sqrt(4*a*c-b^2)/2*a); 
  root_2=(-b/2*a)-(sqrt(4*a*c-b^2)/2*a); 
  fprintf('\n') 
  disp('Roots are complex:') 
  fprintf(1,'Root1= %0.0f \n',root_1); 
  fprintf(1,'Root2= %0.0f \n',root_2); 
end

So far everything works fine but I don't want the last "elseif" command to simplify the imaginary equation.

For instance if my (a,b,c) are (1,8,25), respectfully, the answer that I would like to have is:

Root1= -4+3i 
Root2= -4-3i

How do I keep it this way or at least have the "i"?

Answer 1

[Walter Roberson]

fprintf(1,'Root1= %0.0f%+0.0fi\n', real(root_1), imag(root_1));

[Aaron]

Tried this command and got this answer:

Roots are complex: Root1= -1+0i Root1= -7+0i

[Tom]

Look very carefully at your equations for root_1 and root_2 for the complex case...

[Aaron]

I've tried but can't seem to find where I'm messing up?!

[Walter Roberson]

Good eyes, Tom.

[Tom]

It's one of those things:

sqrt(4*a*c-b^2)

Also, for the first pair of equations, you need brackets for the 2*a part:

(-b+sqrt(b^2-4*a*c))/(2*a)

[Aaron]

How could that be? The sqrt worked find with my other equations.

[Walter Roberson]

You did not use the same sqrt with your other equations.

[Tom]

It might be worth checking it with a known solution (e.g. http://www.mathgoodies.com/calculators/quadratic_equations.html)- try for example a=3,b=4,c=1

[Aaron]

Sonovagun!! I should have caught that. Thank you.