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Math Drills
Complex numbers
Non-real roots of quadratic equations
Practice 1
Complex numbers
Non-real roots of quadratic equations
1 / 5
Standard
Solve the equation.
x
2
−
2
x
+
5
=
0
x^{2} - 2x + 5 = 0
x
2
−
2
x
+
5
=
0
1
x
=
−
1
+
2
i
,
x
=
−
1
−
2
i
x = -1 + 2i,\ x = -1 - 2i
x
=
−
1
+
2
i
,
x
=
−
1
−
2
i
2
x
=
1
+
2
i
,
x
=
1
−
2
i
x = 1 + 2i,\ x = 1 - 2i
x
=
1
+
2
i
,
x
=
1
−
2
i
3
x
=
1
+
4
i
,
x
=
1
−
4
i
x = 1 + 4i,\ x = 1 - 4i
x
=
1
+
4
i
,
x
=
1
−
4
i
4
x
=
−
1
+
4
i
,
x
=
−
1
−
4
i
x = -1 + 4i,\ x = -1 - 4i
x
=
−
1
+
4
i
,
x
=
−
1
−
4
i
Answer