Complete the square to transfer into vertex form and find the vertex: f(x)= x^2+6x-22

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

−

3

)

2

Add the term to each side of the equation.

x

2

−

6

x

+

(

−

3

)

2

=

22

+

(

−

3

)

2

Simplify the equation.

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x

2

−

6

x

+

9

=

31

Factor the perfect trinomial square into  

(

x

−

3

)

2

.

(

x

−

3

)

2

=

31

Solve the equation for  

x

.

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x

=

±

√

31

+

3

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

31

+

3

Decimal Form:

x

=

8.56776436

…

,

−

2.56776436

…

Step-by-step explanation:

thats took a while lol

me

step-by-step explanation: