3 years ago

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

Mathematics

1 answer:

jarptica [38.1K]3 years ago

4 0

9514 1404 393

Answer:

0.26 +0.18i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

$\dfrac{2+i}{7-i}=\dfrac{(2+i)(7+i)}{(7-i)(7+i)}=\dfrac{13+9i}{50}=\boxed{0.26+0.18i}$

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