x^3 - 3x +2=0,find the value of x.
Answers
Answered by
1
Answer:
It is easy to see by inspection that
x
=
−
1
satisfies the equation :
(
−
1
)
3
−
3
×
(
−
1
)
−
2
=
−
1
+
3
−
2
=
0
To find the other roots let us rewrite
x
3
−
3
x
−
2
keeping in mind that
x
+
1
is a factor:
x
3
−
3
x
−
2
=
x
3
+
x
2
−
x
2
−
x
−
2
x
−
2
=
x
2
(
x
+
1
)
−
x
(
x
+
1
)
−
2
(
x
+
1
)
=
(
x
+
1
)
(
x
2
−
x
−
2
)
=
(
x
+
1
)
(
x
2
+
x
−
2
x
−
2
)
=
(
x
+
1
)
{
x
(
x
+
1
)
−
2
(
x
+
1
)
}
=
(
x
+
1
)
2
(
x
−
2
)
Thus, our equation becomes
(
x
+
1
)
2
(
x
−
2
)
=
0
which obviously has roots
−
1
,
−
1
,
2
We can also see it in the graph:
graph{x^3-3x-2}
Answered by
0
Answer:
hdjskksk
Step-by-step explanation:
svsiugydtsrsrarstxjv3445×526=10000
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