Solve in C the equation
z^4 +(7−i)z^3 +(12−15i)z^2 +(4+4i)z+16+192i=0
Knowing that it has one real root and a purely imaginary root
of equal magnitude.
In triangle ABC with angles α , β , γ
correspondently , Euler′s line interescts
BC at point P. Ite′s put δ is angle
between Euler′s line and BC (∠BPH).
Then the following is true
tan δ = ((2 cos β cos γ − cos α)/(sin (β − γ)))