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Byju's Answer
Standard X
Mathematics
Roots of a Quadratic Equation
If x=1+i is...
Question
If
x
=
1
+
i
is a root of the equation
x
3
−
i
x
+
1
−
i
=
0
, then the other real root is
A
0
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B
1
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C
−
1
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D
None of the above.
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Solution
The correct option is
C
−
1
Given equation is
x
3
−
i
x
+
1
−
i
=
0
x
3
+
1
−
i
(
x
+
1
)
=
0
(
x
+
1
)
(
x
2
−
x
+
1
−
i
)
=
0
∴
Real root of given equation is
x
=
−
1
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0
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