someone please help me with the question I have..?

Question

Use this equation for the questions.

y2 - 12y - 8 = 0

Substitute the values of a, b, and c into the discriminant formula and choose that expression from the following:

(-12)2 - 4(1)(-8)
(-8)2 - 4(1)(-12)
(-12)2 - 4(-8)(1)


What is the discriminant?
29
112
176


How many real solutions are there?
2
1
none


What are the real solutions to the quadratic equation?

Answer 1

The equation is y^2 - 12y - 8 = 0.
The expression for the discriminant is (-12)^2 - 4(1)(-8).
The value of the discriminant is 176.
There are 2 real solutions because the discriminant is positive.
The real solutions to the quadratic equation are
(12 + 176^0.5) / 2 = 12.633
and
(12 - 176^0.5) / 2 = -0.633