How do you solve #x^2 + 6x + 10 = 0# by completing the square?
Completing the square is a method of getting as close as you can with one set of brackets and adding or subtracting the rest.
It ends up in a form like
As you can see this is pretty close to the original quadratic. All you need to do is add
To then solve, rearrange like so
There is no solution for the given equation for any
Consider the standard form of
The by completing the square we have:
In your case
The coefficient of
Thus the vertex is a minimum and above the x-axis
Thus there is no solution for
However their will be a solution for
Multiply by (-1)