# How do you solve #x^2 + 6x + 10 = 0# by completing the square?

##### 2 Answers

#### Answer:

#### Explanation:

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

#### Answer:

There is no solution for the given equation for any

#### Explanation:

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

Given that

Updated: The

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This becomes:

Multiply by (-1)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This becomes:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Solution for