Answer: Discriminant is 36. There are two real solutions (both different)
Explanation:
The equation 1x^2 - 4x - 5 = 0 is in the form ax^2 + bx + c = 0. We see that
a = 1, b = -4, c = -5
So the discriminant is
D = b^2 - 4ac
D = (-4)^2 - 4(1)(-5)
D = 16 + 20
D = 36 is the discriminant
The discriminant is positive, so there are two different solutions. The solutions are both real.
note: because the discriminant is a perfect square, this means that the two solutions are rational (ie fractions of whole numbers).
