Question

Write the expression in standard form.
\(\Large\dfrac{7}{4-14i}\)

Answer 1

multiply numerator and denominator by

conjugate of 4-14i

Answer 2

\(\Large -\dfrac{7}{53}+\dfrac{49}{106}i\)

\(\Large\dfrac{7}{53}-\dfrac{49}{106}i\)

\(\Large\dfrac{7}{53}+\dfrac{49}{106}i\)

\(\Large -\dfrac{7}{53}-\dfrac{49}{106}i\)

Answer 3

conjugate of 4-14i is ?

Answer 4

4+14i

Answer 5

i came up with \(\dfrac{28+98i}{212}\)

Answer 6

thats correct :)

Answer 7

now separate out the numerator

Answer 8

\(\dfrac{28}{212}+\dfrac{98i}{212}\)?

Answer 9

yep, now reduce those fractions

Answer 10

anyways since both the parts are positive, you can guess the answer :)

Answer 11

c?

Answer 12

can you help me on like 2 more?

Answer 13

yes, and sure :)