SOLUTION: determine the all z satisfying
|z-8+4i|=9
Algebra.Com
Question 511606: determine the all z satisfying
|z-8+4i|=9
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let z = a+bi, then
 - 8 + 4i| = 9)
 + (b+4)i| = 9)
^2 + (b+4)^2 = 81)
All the z-values will lie on a circle with radius 9 and center (8,-4) or 8-4i.
RELATED QUESTIONS
z-|z|=8+4i
Find all complex numbers z that satisfy the... (answered by ikleyn,Edwin McCravy)
Find all (real or nonreal) z satisfying
(z - 3)^4 + (z - 5)^4 =... (answered by Edwin McCravy)
Find all complex numbers z satisfying the equation
\frac{z + 1}{z - 1} = 2 + i +... (answered by CPhill)
What are the values of z satisfying the equation?... (answered by asha)
Find all non-zero complex number z satisfying z^2 + |z*| = 0. Here z* is complex... (answered by ikleyn)
solve... (answered by Alan3354,JBarnum)
Let z denote a variable that has a standard normal distribution. Determine the value z*... (answered by stanbon)
Find all complex solutions to the equation z^3 = 8i - (15 + 2i)z^2 + (7 -... (answered by CPhill)
i=7+4i, Z= 8+8i solve the equation E=Z for the missing... (answered by richwmiller)