Name:
Tyler Duncan
Date:
11/12/2020
School:
MCVP
Facilitator:
3.03 Solving Quadratic Equations by Completing the Square
Determine the value of
c
for each of the following quadratic expressions.
Show your work in the space provided.
1.
x
2
– 14
x
+
c
=
Show your work here:
c
49
c

Solve by completing the square.
If the solutions are imaginary, write your answer together with the
±
sign.

3.
x
2
– 12
x
+ 27 = 0
Solutions:
x
=
5
and
x
=
7
Use the table below to show your work.
Step 1: Equation to complete
the square
Step 2: Show work here to
find the c-value.
Step 3: Show work here to
factor: (Don’t forget the sign
of the binomial)
Step 4: Show work for solving
for both roots.
x
2
−
12
x
=−
27
12
÷
2
=
6
2
=
36
x
2
−
12
x
+
36
=
1
(x-6
x
−
6
¿¿
)=1
x+6-6=1-6
x=-5
x-6+6=1+6
x=7
4.
n
2
– 2
n
– 18 = 6

Solutions:
x
=
6
and
x
=
-4
Use the table below to show your work.
Step 1: Equation to complete
the square
Step 2: Show work here to
find the c-value.
Step 3: Show work here to
factor: (Don’t forget the sign
of the binomial)
Step 4: Show work for solving
for both roots.
n
2
−
2
n
−
18
+
18
=
6
+
18
n
2
−
2
n
=
24
2
÷
2
=
1
2
=1
n
2
−
2
x
+
1
=
25
(x-1)(x-1)=25
(
x
−
1
)
2
=
25
√
(