Question

Sa se calculeze in C urmatoarele ecuatii cu coeficienti reali:1/z= 1-2z

Answer 1

1/z=1-2z
1/z=(1-2z)/1
z(1-2z)=1
z-2z²=1
-2z²+z-1=0      (-1)
2z²-z+1=0
Δ=1-8=-7
z1=(1+√-7)/4=(1+7i)/4
z2=(1-√-7)/4=(1-7i)/4