- #1
squaremeplz
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Homework Statement
consider
[tex] a*z - b*conj(z) + c = 0 [/tex]
where a,b,c are unknown complex constants.
find a formula for z in terms of a, b, c
answer should be in the form "z = ..." where the ... does not contain any z or conj(z)
Homework Equations
I multiply the whole equation by z
[tex] z*(a*z - b*conj(z) + c) = 0 [/tex]
=
[tex] a*z^2 - b*z^2 + c*z) = 0 [/tex]
=
[tex] (a - b)*z^2 + c*z = 0 [/tex]
using the quadratic formula
[tex] z = \frac {-c \frac {+}{-} \sqrt{c^2}}{2*(a-b)} [/tex]
is this correct?
thanks!