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Could someone solve this for me and show steps? : 

 

Problem: The product of z and the complex number 5 - 6i is a real number. Find 2 possible nonzero vaules of z.

 

Thanks!smiley

 Jul 28, 2023
 #2
avatar+115 
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Thank You!smiley

 Jul 28, 2023
 #3
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I can think of the first one off the top of my head, 5+6i This is because of difference of squares formula, (a+b)(a-b)=a^2-b^2
hope this helps a bit even if i didnt solve the whole thing

 Jul 31, 2023

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