use the quadratic formula, find the solution to x^2 + 6x + 9 = 0
To find the solution to the quadratic equation x^2 + 6x + 9 = 0, we can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For this equation, the values of a, b, and c are as follows:
a = 1
b = 6
c = 9
Now, substituting the values into the quadratic formula:
x = (-6 ± √(6^2 - 4(1)(9))) / (2(1))
Simplifying the equation further:
x = (-6 ± √(36 - 36)) / 2
x = (-6 ± √0) / 2
x = (-6 ± 0) / 2
x = -6/2
x = -3
Therefore, the solution to x^2 + 6x + 9 = 0 is x = -3.