Question

(simplest form a+bi){6 - i} " alt=" \frac{8}{6 - i} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

48/37  + (8/37)i.

Step-by-step explanation:

8 / (6 - i)

We multiply top and bottom of the fraction by the conjugate of 6 - i , which is 6 + [email protected]

= 8*(6 + i) / (6 - i)(6 + i)

=  48 + 8i /  (36 + 6i - 6i - i^2)

= 48 + 8i / (36 - (-1))

= 48 + 8i / 37

= 48/37  + (8/37)i.