Problem 95 of 7
Use complex factorization to solve the polynomial equation x^4+5x^2+4=0.
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factor completely over complex numbers.
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Factor completely over complex numbers before listing all solutions.
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Solution
Walkthrough
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1. Factor the polynomial using real or complex identities.
2. Set each factor equal to zero.
3. Solve and list every complex root.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Stopping after real solutions when nonreal roots exist.