Question

Divide: (7 + 4i) ÷ (2 + 3i)

Answer 1

multiply and divide by the conjugate of the denominator
you know whats the conjugate of 2+3i ?

Answer 2

2+3i?

Answer 3

right?

Answer 4

the conjugate of a+bi will be a-bi

what about 2+3i ?

Answer 5

i d k??

Answer 6

just flip the sign of imaginary part!
conjugate of 2+3i is 2-3i
ok ?

Answer 7

oooohhh i get it you just flipped the sign

Answer 8

yes, now multiply and divide that , what u get ?

Answer 9

i

Answer 10

?

Answer 11

imm sorry i dk what i am doing

Answer 12

do this: \(\large \dfrac{(7+4i)(2+3i)}{(2+3i)(2-3i)}\)
you can multiply, right ? :P

Answer 13

yes

Answer 14

do i use the foil method

Answer 15

sorry, a typo, do this ***
\(\large \dfrac{(7+4i)(2-3i)}{(2+3i)(2-3i)}\)
yes, exactly, the foil ! in numerator and denominator both

Answer 16

ok i got -12i^2-13i+14/9i^2+4

Answer 17

numerator is absolutely correct! good

the denominator should have -9i^2+4, right ??

Answer 18

no -9i^-12i+4 i forgot to add -6i+-6i

Answer 19

-6i+6i should be there, check again ?
and that = 0

Answer 20

ohhh ok i get it

Answer 21

cool, now whats i^2 = .... ?
you know ?

Answer 22

no

Answer 23

is it an imaginary number

Answer 24

this question belongs o imaginary nu,mber topic, right ?

Answer 25

yes

Answer 26

so what do i do after that

Answer 27

so, \(i=\sqrt{-1}\)
square both sides of this, what u get ?

Answer 28

√-12i+1?

Answer 29

on the numerator

Answer 30

what ??

just square both sides of \(i=\sqrt{-1}\)
so that we get the value of i^2
which we will substitute in the expression you got....