Question

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

Answer 1

9514 1404 393

Answer:

  0.26 +0.18i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

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