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

Question

razor99 · Answer

@Mandy_Nakamoto  what kind of equation is that

anonymous · Answer

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

razor99 · Answer

i think your are correct lol not sure

anonymous · Answer

oh you have to draw it on Argand plane I think

hoblos · Answer

yes you are right XD

anonymous · Answer

yeah but Argand Plane will only give a graphical solution

razor99 · Answer

yaaa katrina kaif to the resque

hoblos · Answer

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

anonymous · Answer

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

razor99 · Answer

good one Mandy

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

razor99 · Answer

wow Rajarshi you are awesome at maths

anonymous · Answer

but isnt cartesian form=x+iy form??

anonymous · Answer

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get it