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you can solve it by rationalizing |dw:1343807584287:dw|

i dont get it .

now multiply dominaters and nominators

still didnt get it??

100i + 10i^2/100-i^2 ?

what should i do to get conjugate form ?

Denominator part is right but need to solve further..
\[100 - i^2 = ??\]

\[\large i^2 = -1\]

i need x+iy form.. :( confuse

Yes you will get that..
Just have patience..
Tell me :
\[100 - i^2 = ??\]

The value of \(i^2 \) is -1..

i=10 ?

or 100+1 = 101 ?

Last one is right..

Similarly do it in the Numerator,,,

\[100i + 10 i^2 = ??\]

100(-1)+10(-1)^2 = -100+10 =-90 ? like this ?

(100i - 10)
use the fact that i^2 = -1

You can change i^2 there and not i..
remain i as such..

\[\large 100i + 10i^2 = 100i + 10(-1) = ??\]

ohh i see , 100i -10 ?

Yes...

Here I have separated both..
does it look like x + iy ??

See your teacher said to you want to solve this by using \(10 + i\)
Here we have done the same ..

i dont understand . we've got -10/101+i100/101 and my teacher said 10+i as the answer

This will not be the answer for this..
Ask him again when you will meet him..

10 + i is the conjugate for this..

I think he just said to find conjugate so then the answer should be \(10 + i\)

Let me check..

2 - i is right..

okay i will write my calculation ..

Can you show me..??

|dw:1343814167411:dw|

|dw:1343814339078:dw|

50/25 - i (-25/25)
50/25 + i
2+i

|dw:1343814575597:dw|

|dw:1343814799716:dw|

Can you once try this ??
Do calculations according to it..
Try once..

ok wait

Wait..

|dw:1343815363469:dw|

|dw:1343815404009:dw|

Here x1 = 11, x2 = 4 y1 = 2 and y2 = 3

yap , the asnwer is 2+i

2 + i ??

ohh the formula from my book is wrong , omg ..

nono i mean 2-i

Is it clear to you now ??

See i show you more properly how I do this types of problems..

|dw:1343816101532:dw|

|dw:1343816319564:dw|

like that ?

yes well done..
Need not to multiply 2..
You can simply do this:
|dw:1343816404418:dw|

Take your time..
Welcome dear..

|dw:1343817123248:dw|
there is i^2

|dw:1343817171131:dw|
and dissapear in this .. where is i^2 ?

|dw:1343817264875:dw|

\[\large -y_1y_2(i^2) = -y_1y_2(-1) \implies \color{blue}{+y_1y_2}\]

ohh I understand , so i^2 always meaning -1 in compleks form ?

Yes..

|dw:1343817500482:dw|
is that correct ?

hmm i see ..

Little mistake..

|dw:1343817882249:dw|