Answer:
Step-by-step explanation:
Given is a quadratic equation of the form
[tex]-x^2+4x-2[/tex]
WE know that for any quadratic equation of the form
[tex]ax^2+bx+c=0[/tex]
the discriminant would be
[tex]b^2-4ac[/tex]
The discriminant determines the nature of roots of the quadratic equation, namely, real, rational or equal roots.
Here we have for the given equation
discriminant = [tex]4^2-4(-1)(-2)\\=16-8\\=8[/tex]
Thus we have discriminant as positive but not perfect square
Hence roots would be distinct, irrational and real.
