jubileemcrx7 jubileemcrx7

08-12-2020
Mathematics

contestada

A quadratic function has the complex roots (1 +3i) and (1 – 3i). What is the
quadratic function in standard form?

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mhanifa mhanifa

08-12-2020

Answer:

x² - 2x + 10 = 0

Step-by-step explanation:

The roots are:

(1 +3i) and (1 – 3i)

The equation is:

(x - (1 + 3i))(x - (1 - 3i)) = 0
x² - (1 + 3i + 1 - 3i)x + (1 + 3i)(1 - 3i) = 0
x² -2x + (1 - 9i²) = 0
x² - 2x + 1 + 9 = 0
x² - 2x + 10 = 0

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