Processing Math: Done

To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

jsMath

Warning: jsMath requires JavaScript to process the mathematics on this page.
If your browser supports JavaScript, be sure it is enabled.

3.3 Übungen

(Unterschied zwischen Versionen)

Version vom 13:44, 10. Mär. 2009

Übungen

Write the following number in the form a+ib, where a and b are real numbers:

Solve the equations

a)	z4=1	b)	z3=−1	c)	z5=−1−i
d)	(z−1)4+4=0	e)	z−iz+i2=−1

Complete the square of the following expressions

a)	z2+2z+3	b)	z2+3iz−41
c)	−z2−2iz+4z+1	d)	iz2+(2+3i)z−1

Solve the equations

a)	z2=i	b)	z2−4z+5=0
c)	−z2+2z+3=0	d)	z1+z=21

Solve the equations

a)	z2−2(1+i)z+2i−1=0	b)	z2−(2−i)z+(3−i)=0
c)	z2−(1+3i)z−4+3i=0	d)	(4+i)z2+(1−21i)z=17

Determine the solution to z2=1+i both in polar form and in the form a+ib, where a and b are real numbers. Use the result to calculate tan8.