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  • 22-10-2019
  • Mathematics
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Evaluate x²-6x when x=3-i.

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lyndalau86
lyndalau86 lyndalau86
  • 22-10-2019

Answer:

10

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

⇒ [tex]x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\\=9 - 6i-1-18+6i\\=-10[/tex]

Thus, x² - 6x = 10 when x = 3-i

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