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datdude666 datdude666
wrote...
Posts: 75
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10 years ago
Find an equation of a quadratic function with a  complex zeros 1+4i and 1-4i

Hope somebody can help me with this!!

thanks in advance!!!
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SpencerBradleSpencerBradle
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10 years ago
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wrote...
10 years ago
Use the factors [ x - (1 + 4i) ] [ x - (1 - 4i) ]
Multiply it out and you have your polynomial.

x² - (1 - 4i)x - (1 + 4i)x + (1 + 4i)(1 - 4i)
= x² -x + 4ix - x + 4ix + 1 - 16i²
= x² - 2x + 1 + 16
= x² - 2x + 17
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