Exercise 6.4.1 Show that 1 +i,2+i are the only two roots to P(x) =x² – (3+2i).x+(1+3i) Hence complex zeros do not necessarily come in conjugate pairs if the coefficients of the equation are not real.

College Algebra (MindTap Course List)
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Chapter1: Equations And Inequalities
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Problem 68E: Determine the number and nature of the roots of the equation in Exercise 67. Calculate the...
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Exercise 6.4.1 Show that1+i,2+i are the only two roots to
p(x) =x² – (3+ 2i)x+(1+3i)
Hence complex zeros do not necessarily come in conjugate pairs if the coefficients of the equation are not
real.
Transcribed Image Text:Exercise 6.4.1 Show that1+i,2+i are the only two roots to p(x) =x² – (3+ 2i)x+(1+3i) Hence complex zeros do not necessarily come in conjugate pairs if the coefficients of the equation are not real.
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