# How do you solve using completing the square method #x^2+3x+1=0#?

##### 2 Answers

The roots are

#### Explanation:

From the given

The 3 will have to be divided by 2 then the result should be squared and the final result is

The first 3 terms now will form a PST-perfect square trinomial.

this

So, the equation becomes

simplify

transpose the 5/4 to the right side

Extract the square root of both sides of the equation

The roots are

God bless....I hope the explanation is useful.

*or*

#### Explanation:

*Given equation is*

*Add #9/4# to both sides of equation (1)*

*or*

*or*