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## Mandy_Nakamoto 3 years ago Express 1/(4-i)^2 in cartesian form.. is the answer 15/289 + 8i/289?? Am i rite??

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1. razor99

@Mandy_Nakamoto what kind of equation is that

2. Mandy_Nakamoto

it says to change it to x+iy form.. under the complex number topic..

3. razor99

i think your are correct lol not sure

4. Rajarshi

oh you have to draw it on Argand plane I think

5. hoblos

yes you are right XD

6. Rajarshi

yeah but Argand Plane will only give a graphical solution

7. razor99

yaaa katrina kaif to the resque

8. hoblos

1/(4-i)^2 = 1/(15 - 8i) multiply by the conjugate ( 15+8i) (15+8i)/ 289 = 15/289 + 8i/289

9. Mandy_Nakamoto

Yay! im rite!!!! huhuhu...

10. razor99

good one Mandy

11. Mandy_Nakamoto

But about the argand plane.. i have to change the equation to cartesian form first rite??

12. Rajarshi

no in order to draw it on argand plane you only need the x + iy format and the point is (x,y) understand

13. Rajarshi

So bascially the point you will get is (15/289 , 8/289)

14. razor99

wow Rajarshi you are awesome at maths

15. Mandy_Nakamoto

but isnt cartesian form=x+iy form??

16. Rajarshi

|dw:1331292622468:dw| get it

17. Mandy_Nakamoto

Yeah...

18. Mandy_Nakamoto

Thanks a lot guys!! ^^

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