Imaginary numbers in a quadratic using matlab

I am trying to graph a quadratic using the 2 roots found

but wont graph . this is the code. what am i dong wrong. keeps on giving me imaginary values for my x values

function [x1,x2]=quad(a,b,c)

z=sqrt(b^2 -4*a*c);

w=2*a;

x1=(-b+z)/w;

x2=(-b-z)/w;

end

disp('a cannot be 0')

a=input('Enter a Value for a: ');

b=input('\nEnter a value for b: ');

c=input('\nEnter a vlaue for c: ');

[x1,x2]= quad(a,b,c)

z=sqrt(b^2 -4*a*c);

w=2*a;

g1=(a*x1^2+b*x1+c)

g2=(a*x2^2+b*x2+c)

if z<0

fprintf('There are no real values')

elseif z==0

fprintf('There is only one real root')

else

fprintf('There is two real roots')

plot(g1,g2)

end

Answer 1

[Raunak Gupta]

Hi,

The roots of quadratic equation are dependent on the coefficients a,b,c and according to code that is mentioned the roots are plotted only when they are real. You may plot imaginary roots with real part on the x axis and imaginary part on the y axis as mentioned here. Also, at the end of the code g1,g2 are plotted which are not roots but evaluation of quadratic equation at the roots. You may plot roots by

plot([x1,x2],'o');