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Help I need help with this

 

Express \frac{15 - 16i}{2 - 3i + 5 - 7i} in standard form.

 Dec 15, 2023
 #1
avatar+126978 
+1

[15 - 16i]  / [ 2 -3i + 5 -7i]  =

 

[15 -16i] / [ 7 -10i]    =   

 

[ 15 -16i] [ 7 + 10i]

_______________   =

[ 7 -10i] [ 7 +10i]

 

[ 105 - 112i + 150i - 160i^2 ]

_______________________  =

49 - 100i^2

 

[ 105 + 160 + 38i ]

------------------------  =

49 + 100

 

[ 265 + 38i ]

__________

     149

 

 

cool cool cool

 Dec 15, 2023
 #2
avatar+25 
0

I agree, just simplify and if the denominator is imaginary or complex, say 10i+10, multiply by 10-10i

 Dec 15, 2023

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