Given:
[tex]x^2-8x+20=0[/tex]
We will calculate the discriminant of the given quadratic equation
First, we will identify the coefficients:
a = 1, b = -8, and c = 20
the discriminant will be as follows:
[tex]D=b^2-4ac=(-8)^2-4(1)(20)=64-80=-16<0[/tex]
The discriminant is less than zero
So, the roots are imaginary numbers or (complex numbers)
