Problem 108 of 7
Find a quadratic equation with complex conjugate roots i and -i.
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build conjugate factors and multiply.
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Roots must be conjugates; equation may use real coefficients.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. Write factors (x-root1)(x-root2).
2. Multiply conjugate factors so imaginary terms cancel.
3. Set the resulting quadratic equal to zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using only one root factor.