Answer:x
=
−
3
x
=
−
2
Step-by-step explanation:
The quadratic formula is:
⇒
x
=
−
b
±
√
b
2
−
4
a
c
2
a
for a quadratic of the form
a
x
2
+
b
x
+
c
.
We have
a
=
1
,
b
=
5
, and
c
=
6
.
x
=
−
5
±
√
5
2
−
4
(
1
)
(
6
)
2
(
1
)
x
=
−
5
±
√
25
−
24
2
x
=
−
5
±
√
1
2
x
=
−
5
±
1
2
Hence,
x
=
−
6
2
=
−
3
and
x
=
−
4
2
=
−
2
I'm not sure why you wanted to use the quadratic formula, but you could just factor the quadratic:
x
2
+
5
x
+
6
=
(
x
+
3
)
(
x
+
2
)
=
0
x
+
3
=
0
→
x
=
−
3
and
x
+
2
=
0
→
x
=
−
2
Step-by-step explanation: