Saturday

December 20, 2014

December 20, 2014

Posted by **Anne** on Thursday, March 13, 2008 at 7:11am.

Z/(Z+4)= 3+2i

Find Z.

please help thx!

- Calculus--complex numbers -
**drwls**, Thursday, March 13, 2008 at 8:15amMultipy both sides of the equation by Z+4, and combine terms.

Z = (3 + 2i)(Z+4) = 3Z + 2iZ +12 + 8i

(2 + 2i)Z + 12 + 8i = 0

Z = -(12 + 8i)/(2 + 2i)

= -(6 + 4i)/(i + 1)

= -(6 + 4i)(i -1)/[(i+1)(i -1)]

= -(-6 +2i -4)/(-2)

Z = -5 + i

- Calculus--complex numbers -
**Anne---?**, Thursday, March 13, 2008 at 8:32ami don't really get how 3Z + 2iZ +12 + 8i can be transformed into (2 + 2i)Z + 12 + 8i = 0

why is it not (3 + 2i)Z + 12 + 8i = 0??

thank you

- Calculus--complex numbers -
**drwls**, Thursday, March 13, 2008 at 9:41amCompare the first two equations.

I subtracted Z from both sides of the first equation, to get a zero on one side of the equation.

- Calculus--complex numbers -
**Anne---?**, Thursday, March 13, 2008 at 9:52amthanks!

**Answer this Question**

**Related Questions**

complex numbers - the complex number Z satisfies (Z+i)/(1+2i)= iz Find Z. please...

complex numbers - the complex number Z satisfies Z+i/(1+2i)= iz Find Z. please ...

calculus - can you please explain tep by step how to solve dividing complex ...

math-complex numbers - Sketch the sets of complex numbers in the complex plane ...

Pre-Calculus - Hello! I'm stuck on how to do this problem and would appreciate ...

Pre-cal - The equation of the line joining the complex numbers -5 + 4i and 7 + ...

Precalculus - Let z and w be complex numbers such that |2z - w| = 25, |z + 2w...

chemistry - How to find moles given oxidation numbers and chemical formula? ...

calculus - Write the complex number in exponential form. i i is the complex ...

Complex Numbers - The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i...