x^3-12x+16=0 solve equation
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0
Answer:
Explanation:
note that
2
3
−
12
(
2
)
+
16
=
0
⇒
x
=
2
is a root and
(
x
−
2
)
is a factor
⇒
x
2
(
x
−
2
)
+
2
x
(
x
−
2
)
−
8
(
x
−
2
)
=
(
x
−
2
)
(
x
2
+
2
x
−
8
)
=
(
x
−
2
)
(
x
+
4
)
(
x
−
2
)
⇒
(
x
−
2
)
2
(
x
+
4
)
=
0
⇒
x
=
2
multiplicity of 2
and
x
=
−
4
multiplicity of 1
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