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Byju's Answer
Standard XII
Mathematics
Higher Order Equations
If one root o...
Question
If one root of
x
2
−
(
3
+
2
i
)
x
+
(
1
+
3
i
)
=
0
is
1
+
i
, where
i
=
√
−
1
, then the other root is
A
1
−
i
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B
2
+
i
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C
3
+
i
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D
1
+
3
i
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Solution
The correct option is
B
2
+
i
Sum of two roots is given by
−
b
a
Let
k
be the other root then
k
+
1
+
i
=
3
+
2
i
which implies that
k
=
2
+
i
.
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0
Similar questions
Q.
If one root of the equation
x
2
+
(
1
−
3
i
)
x
−
2
(
1
+
i
)
=
0
is
−
1
+
i
, then the other root is
Q.
One root of the equation
x
2
−
i
x
−
(
1
+
i
)
=
0
is
1
+
i
, where
i
=
√
−
1
, then other root is
Q.
If
(
1
−
i
)
is a root of the equation,
z
3
−
2
(
2
−
i
)
z
2
+
(
4
−
5
i
)
z
−
1
+
3
i
=
0
, then find the other two roots.
Q.
Find
a
if
∣
∣ ∣
∣
i
−
2
i
−
1
3
i
i
3
−
2
1
−
3
−
i
∣
∣ ∣
∣
=
a
i
, where
i
=
√
−
1
Q.
If
(
1
+
i
)
(
2
+
3
i
)
(
3
−
4
i
)
(
2
−
3
i
)
(
1
−
i
)
(
3
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4
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)
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=
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