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AP EAMCET Engineering 2014 Code A Solved Paper
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© examsnet.com
Question : 7
Total: 160
The number of solutions for
z
3
+
−
z
=
0
is
1
2
3
4
Validate
Solution:
z
3
+
z
=
0
⇒
z
3
=
−
z
⇒
|
z
|
3
=
|
(
−
z
)
|
⇒
|
z
|
3
=
|
z
|
⇒
|
z
|
3
−
|
z
|
=
0
⇒
|
z
|
(
|
z
|
2
−
1
)
=
0
⇒
|
z
|
=
0
,
|
z
|
2
=
1
⇒
|
z
|
=
±
1
|
z
|
2
=
z
⋅
z
=
1
From equation (1), we get
⇒
z
3
+
1
z
=
0
⇒
z
4
+
1
=
0
So, the equation has four roots.
© examsnet.com
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