How many roots can be found in the quadratic equation y = x2 + 12x + 36? a 0 b 1 c 2 d 3

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.