Problem 64 of 7
Verify the polynomial identity with complex substitution: check x=i in x^4-1=0.
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substitute complex values and simplify.
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Substitution must simplify powers of i correctly.
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Solution
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1. Substitute the complex value into the polynomial or identity.
2. Simplify powers and products using i^2=-1.
3. Compare sides or verify the expression equals zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using i^2=1 or omitting imaginary simplification.