Answer: b 1
Explanation:
In y = x^2 + 12x + 36, a = 1, b = 12, c = 36.
To determine the number of roots in a quadratic equation, substitute the values into this discriminant:
k = b^2 - 4ac
This comes from the square root part of the quadratic formula.
There are three possible situations.
No root: k < 0
One root: k = 0
Two roots: k > 0
k = b^2 - 4ac
= 12^2 - 4(1)(36)
= 144 - 4(1)(36)
= 144 - 144
= 0
k = 0
Therefore, there is one root.
