Using the results of Exercises 101104, make a conjecture about another nonreal complex solution of the equation

Question:

Using the results of Exercises 101–104, make a conjecture about another nonreal complex solution of the equation x² - 6x + 13 = 0, and verify it.

Data from in Exercises 101

Show that 1 + 5i is a solution of x² - 2x + 26 = 0.

Exercises 102

Show that 1 - 5i is a solution of x² - 2x + 26 = 0.

Exercises 103

From Exercises 101 and 102, the nonreal complex solutions of the equation

are 1 + 5i and 1 - 5i. What do we call two complex numbers a + bi and a - bi?

Exercises 104

Show that 3 + 2i is a solution of the equation x² - 6x + 13 = 0.

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Intermediate Algebra

ISBN: 9780134895987

13th Edition

Authors: Margaret Lial, John Hornsby, Terry McGinnis

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Question Posted: Jun 08, 2023 04:41 AM

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Using the results of Exercises 101104, make a conjecture about another nonreal complex solution of the equation

Question:

x² - 2x + 260

Step by Step Answer:

Based on the given information we can make a conjecture about another nonreal complex solution of th...View the full answer

Intermediate Algebra

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