Problem 87 of 7
Find the missing root of a real-coefficient quadratic when one root is 0.
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use conjugate root relationship.
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Known root may be non-real complex for conjugate-pair rule.
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Solution
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1. Check whether the known root is non-real.
2. For real-coefficient polynomials, non-real roots occur in conjugate pairs.
3. Change only the sign of the imaginary part.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Changing the real part sign.