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

User LGenzelis
by
3.9k points

2 Answers

7 votes
(X+3)^2-31. I used a calculator
User Boa
by
4.9k points
5 votes

Answer:

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.

Tap for more steps...

x

2

6

x

+

9

=

31

Factor the perfect trinomial square into

(

x

3

)

2

.

(

x

3

)

2

=

31

Solve the equation for

x

.

Tap for more steps...

x

=

±

31

+

3

The result can be shown in multiple forms.

Exact Form:

x

=

±

31

+

3

Decimal Form:

x

=

8.56776436

,

2.56776436

Explanation:

thats took a while lol

User Cactusboat
by
4.2k points