Solve equations using De Moivre's theorem:
1. x^7 + x^4 + x^3 + 1 = 0
2. x^7 - x^4 + x^3 - 1 = 0
I tried multiplying with (x - 1). Also tried putting x^3 = y; didn't work.
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Have you been able to factorize the expression in terms (ax + b)^n? (Hint: Consider (x+iy)^n where the real terms are x^7, x^4, x^3 and 1).
I'll walk you through the first one . . . Solve equations using De Moivre's theorem:
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