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Please help!! I am very confused and do not know how to solve this.

 

Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.

 

Thank you! 😊

 Nov 16, 2020

Best Answer 

 #1
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(c+d*i)*(e+f*i)=ce-df+i*(cf+de)

since c,d,e,f are positive real number, their product always in first or second qudrant

To have their product in seond qudrant, ce-df must ;ess than 0, that is ce>df

pick c=1,e=2,d=3,f=4, problem solved

(1+3i)(2+4i)=-10+10i,which is in the second qudrant of the complex plane.

 Nov 16, 2020
 #1
avatar
+1
Best Answer

(c+d*i)*(e+f*i)=ce-df+i*(cf+de)

since c,d,e,f are positive real number, their product always in first or second qudrant

To have their product in seond qudrant, ce-df must ;ess than 0, that is ce>df

pick c=1,e=2,d=3,f=4, problem solved

(1+3i)(2+4i)=-10+10i,which is in the second qudrant of the complex plane.

Guest Nov 16, 2020
 #2
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0

Thank you so much!!

Guest Nov 16, 2020

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