The discriminant of a quadratic expression [tex]ax^2+bx+c[/tex], where a in not 0, is the expression
[tex]D=b^2-4ac[/tex].
We can rewrite [tex]-3=-x^2+2x[/tex] as [tex]-x^2+2x+3=0[/tex].
Thus, a=-1, b=2, c=3. Substituting these values in [tex]D=b^2-4ac[/tex], we have:
[tex]D=(2)^2-4(-1)3=4+12=16[/tex].
Answer: 16
