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Determine the complex number z satisfying the equation $2z - 3 \overline{z} = -7 + 2i$. Note that denotes the conjugate of z.

 Jun 22, 2021
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2(a + bi)   - 3 ( a - bi)  =  -7  + 2i

 

-a + 5bi  =   -7  +  2i

 

a =  7

 

5bi  =  2i

5b = 2

b =  2/5 

 

z =  7 +  (2/5) i

 

 

cool cool cool

 Jun 22, 2021

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