IB Mathematics Analysis and Approaches Quiz
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NUMBER AND ALGEBRA
Question 1
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The equation
z
4
−
2
z
3
+
7
z
2
−
4
z
+
10
=
0
z^4 - 2z^3 + 7z^2 - 4z + 10 = 0
z
4
−
2
z
3
+
7
z
2
−
4
z
+
10
=
0
has a root
z
1
=
1
−
2
i
z_1 = 1-2i
z
1
=
1
−
2
i
. Find a root of the equation that is purely imaginary.
A
2i
B
i
2
i\sqrt{2}
i
2
C
i
5
i\sqrt{5}
i
5
D
2
i
2
2i\sqrt{2}
2
i
2
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