Fourth roots and real quadratic factorization
Fourth roots and real quadratic factorization
IB Year 6 | Grade 12
- Find the four solutions of the equation \(z^4+4=0\).
- Hence express \(z^4+4\) as a product of two real quadratic factors.
Solution:
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Answer:(a) \(1+i,\ 1-i,\ -1+i,\ -1-i\) (b) \((z^2-2z+2)(z^2+2z+2)\)
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