# How do you solve using the completing the square method #x ^2 + 13 x + 42 = 0#?

##### 1 Answer

For a very detailed example of method see

http://socratic.org/s/asVauX76

I will let you solve the other bits!

#### Explanation:

Given:

The process applied introduces an error that is removed by adding the correction factor of

Write as:

Add the correction factor of

Take the power to outside the brackets

Halve the coefficient of

Remove the

The error comes from

So

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

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

Find x-intercepts by substituting 0 for y and solve in the normal way

y-intercept is the constant in the original equation = +42

I will let you solve for the x-intercepts