Question

what is the value of the discriminant b^2-4ac for the quadratic equation 0=x^2-4x+5 and what does it mean about the number of real solutions the equation has

Answer 1

Here’s the quadratic equation formula:
Y = ax^2 + bx + c

A = 1
B = -4
C = 5

Discriminant: -4^2 - (4*1*5) = -4

If discriminant is negative —> No real solutions

If discriminant is zero —> One real solution

If discriminant is positive —-> two real solutions