Ответ:
Объяснение:
3. z=2+5i IzI²= 2²+(5)²=4+25=29 IzI=√29
4. z1=5+i z2=1-7i => z1*z2= (5+i)(1-7i)=5-35i+i-7*i²= 5+7-28i=12-34i
5. z1=1+3i z2=-3-4i => z1/z2= (1+3i)/(-3-4i)=[tex]\frac{1*(-3)+3*(-4)}{3^2+4^2}+ \frac{3*(-3)-1*(-4)}{3^2+4^2}*i=\frac{-3-12}{25}+\frac{-9+4}{25}*i= \frac{-15}{25} -\frac{5}{25}i =-0.6-0.2i[/tex]
2. z1=-4+i z2=-2-5i z1-z2= -4+i -(-2-5i) =-4+i+2+5i =-2+6i
1. z1= 2+3i z2=-3-i z1+z2=2+3i-3-i=-1+2i
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Answers & Comments
Ответ:
Объяснение:
3. z=2+5i IzI²= 2²+(5)²=4+25=29 IzI=√29
4. z1=5+i z2=1-7i => z1*z2= (5+i)(1-7i)=5-35i+i-7*i²= 5+7-28i=12-34i
5. z1=1+3i z2=-3-4i => z1/z2= (1+3i)/(-3-4i)=[tex]\frac{1*(-3)+3*(-4)}{3^2+4^2}+ \frac{3*(-3)-1*(-4)}{3^2+4^2}*i=\frac{-3-12}{25}+\frac{-9+4}{25}*i= \frac{-15}{25} -\frac{5}{25}i =-0.6-0.2i[/tex]
2. z1=-4+i z2=-2-5i z1-z2= -4+i -(-2-5i) =-4+i+2+5i =-2+6i
1. z1= 2+3i z2=-3-i z1+z2=2+3i-3-i=-1+2i