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