Find the roots of the quadratic equation x^2 + 5x + 6 = 0.

The roots of x^2 + 5x + 6 = 0 are -2 and -3.

To find the roots of a quadratic equation in the form ax^2 + bx + c = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 5, and c = 6. Substituting these values into the quadratic formula, we get:

x = (-5 ± √(5^2 - 4(1)(6))) / 2(1)

Simplifying the expression under the square root:

x = (-5 ± √1) / 2

We can see that the expression under the square root simplifies to 1, so:

x = (-5 ± 1) / 2

This gives us two possible values for x:

x = (-5 + 1) / 2 = -2

x = (-5 - 1) / 2 = -3

Therefore, the roots of the quadratic equation x^2 + 5x + 6 = 0 are -2 and -3.