find the value of x. -14/15 +x =17/30
Answers
Answered by
0
Answer:
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
George C.
Feb 21, 2018
x
17
+
1
x
17
=
−
√
3
Explanation:
Given:
x
+
1
x
=
√
3
Square both sides to get:
x
2
+
2
+
1
x
2
=
3
Subtract
3
from both sides to get:
x
2
−
1
+
1
x
2
=
0
Mutiply both sides by
x
4
+
x
2
to get:
x
6
+
1
=
0
That is:
x
is a sixth root of
−
1
So
x
17
+
1
x
17
=
x
18
x
+
x
x
18
x
17
+
1
x
17
=
(
−
1
)
3
x
+
x
(
−
1
)
3
x
17
+
1
x
17
=
−
(
1
x
+
x
)
x
17
+
1
x
17
=
−
√
3
Answered by
0
Answer is 17/30+14/15.LCM is 30 so it will become 17/30+28/30=45/30
=3/2
=3/2
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