x+1/x=1 , then find the value of x^3 + 1
Answers
Answered by
0
Answer:
x
17
+
1
x
17
=
−
√
3
Explanation:
Given:
x
+
1
x
=
√
3
Note that:
x
+
1
x
=
2
cos
(
π
6
)
x
+
1
x
=
(
cos
(
π
6
)
+
i
sin
(
π
6
)
)
+
(
cos
(
−
π
6
)
+
i
sin
(
−
π
6
)
)
So by de Moivre's formula:
x
17
+
1
x
17
=
2
cos
(
17
π
6
)
=
2
cos
(
5
π
6
)
=
−
√
3
Similar questions