# Complex number question

• December 10th 2008, 09:28 AM
AK1010
Complex number question
Right so the question i need help with is as follows

Solve the following equation for the complex number z.

z = 2+3i
z+1

plz help (Surprised)
• December 10th 2008, 11:04 AM
running-gag
Hi

$\frac{z}{z+1} = 2+3i$

$z = (2+3i)z + (2+3i)$

$(1+3i)z = - (2+3i)$

$z = \frac{-2-3i}{1+3i}$

$z = \frac{-2-3i}{1+3i} \;\;\frac{1-3i}{1-3i}$

$z = \frac{-11+3i}{10}$
• December 10th 2008, 12:18 PM
AK1010
thanx