If x = 1 + i, then what is the value of x6 + x4 + x2 + 1?
If x = 1 + i, then what is the value of x6 + x4 + x2 + 1? Correct Answer -6i - 3
Concept:
i2 = - 1
Calculation:
Given: x = 1 + i
⇒ x2 = 2i and x4 = - 4.
⇒ x6 + x4 + x2 + 1 = (2i)3 + (- 4) + (2i) + 1 = - 3 - 6i
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Feb 20, 2025