Answer:
x
=
0
,
x
=
1
,
x
=
2
,
x
=
−
1
, and
x
=
−
2
Step-by-step explanation:
Start off by factoring out an
x
as follows
x
(
x
4
−
5
x
2
+
4
)
=
0
We can factor
x
4
−
5
x
2
+
4
Doing so we have
x
(
x
2
−
4
)
(
x
2
−
1
)
=
0
So in order for this to be equal to zero
x
=
0
OR
x
2
−
4
=
0
OR
x
2
−
1
=
0
Well
x
=
0
x
2
=
4
x
=
±
√
4
=
±
2
x
2
=
1
x
=
±
√
1
=
±
1