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17-12-2020
Mathematics

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Perform the division write the result in STANDARD form. Show your work.
2+i/7-i

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sqdancefan sqdancefan

18-12-2020

9514 1404 393

Answer:

0.26 +0.18i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

[tex]\dfrac{2+i}{7-i}=\dfrac{(2+i)(7+i)}{(7-i)(7+i)}=\dfrac{13+9i}{50}=\boxed{0.26+0.18i}[/tex]

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