A student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients.
1 answer:
Answer:
See explanation
Step-by-step explanation:
1. The student is wrong because imaginary roots always occur in conjugate pairs.
So -4i cannot be the only imaginary root. It has to be accompanied by 4i also.
2. So the 2 roots can be 4i and -4i.
therefore the equation can be
(x - 4i)(x + 4i) = 0
+ 16 = 0
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