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Question
"10. If \\( - 1 + i \\) is a root of \\( x ^ { 4 } + 4 x ^ { 3 } + 5 x ^ { 2 } + 2 x + k = 0 \\) then the other roots are\n\\( \\begin{array} { l l l l } { \\text { 1) } - 1 , - 1 } & { \\text { 2) } - \\frac { 1 } { 2 } , - \\frac { 3 } { 2 } } & { \\text { 3) } - 1 \\pm \\sqrt { 2 } } & { \\text { 4) } 1 \\pm \\sqrt { 2 } } \\end{array} \\)"
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Similar Questions
Q1
Solve the equations:
x
4
+
4
x
3
+
5
x
2
+
2
x
−
2
=
0
, one root being
−
1
+
√
−
1
.
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Q2
If
tan
−
1
y
=
4
tan
−
1
x
(
|
x
|
<
tan
π
8
)
, then which of the following options is (are) CORRECT?
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Q3
If the equation
x
4
−
4
x
3
+
a
x
2
+
b
x
+
1
=
0
has four positive roots then
(
a
,
b
)
is
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Q4
If there is a root of order
3
for the equation
x
4
−
2
x
3
+
2
x
−
1
=
0
, then the other root is:
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Q5
Solve the equation
x
4
+
4
x
3
+
6
x
2
+
4
x
+
5
=
0
, given one root is
√
(
−
1
)
. Find the value of other three roots.
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