alleryStart learning →Solve x² − 4x + 13 = 0 over the complex numbers.
A2 ± 9i
B−2 ± 3i
C2 ± 3i
D4 ± 3i
Answer & Solution
Correct answer: C. 2 ± 3i
The discriminant is 16 − 52 = −36, so x = (4 ± 6i)/2 = 2 ± 3i.
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