# Solve the equation by completing the square. 8x2= -11x-7 ?

##### 1 Answer

#### Explanation:

As 8x2 can be read as 8 times 2, I would advice you to write this as 8x^2 to ensure you are not misunderstood. This is

It's useful to start with drawing a graph:

As the graph does not cross the x axis, this means the solutions are complex, something which is useful to know before we start.

As we want to complete the square, we write the expression as

Divide all therms with 8:

We want to write the left side on the form

Therefore

Add

=

Therefore: