Question

Please Help: Write the ex

Answer 1

@phi @sweetburger @zepdrix @karim728 @jim_thompson5910

Answer 2

When they use the word "quantity" it means they want you to put brackets around something.

quantity four minus fourteen i is (4-14i) in brackets.

Answer 3

So they want us to divide by that whole thing,
7/(4-14i)

To get it into `standard form` we'll need to make use of conjugates.
Do you know what the conjugate of 4-14i looks like?

Answer 4

do you know the complex number conjugate

Answer 5

do you know what mean the conjugate of a complex number ? - without this you not can simplify it

Answer 6

@jhonyy9 @karim728 @zepdrix

Answer 7

@jim_thompson5910

Answer 8

what..?
Can you write it with numbers and not words..?

Answer 9

seven divided by quantity four minus fourteen i
7/4-14 = 7/-10 = -0.7

Answer 10

i am getting my signs mixed up possibly, though

Answer 11

@phi

Answer 12

are you doing
\[ \frac{7}{4-14i} \]

Answer 13

yes

Answer 14

multiply top and bottom by 4+14i
\[ \frac{7(4+14i)}{16+196} \]
(it helps to remember the "fast way" is just square both numbers in the bottom)

Answer 15

i did and i got what i put above

Answer 16

you should get
\[ \frac{28}{212} + \frac{98}{212} i \]
or
\[ \frac{7}{53} + \frac{49}{106}i \]

how did you get a minus sign up top ?

Answer 17

i mixed up the signs.....