Practice Problems and Examples for Complex Numbers

How do you make Z the subject of the formula in
$Z^{3} - 3 Y Z - 3 X = 0$ ?

William Boggs 2022-01-16

a) Given:
$z_{1} = 6 ∠ 30^{\circ}$ and $z_{2} = 4 + 5 i$
What is the resultant of the given complex numbers? In rectangular form.
b) Convert i into polar form

Lorraine Harvey 2022-01-16

Show that additive inverse of any $z = (x, y) \in C$ is unique and it equals $- z = (- x, - y)$
Show that multiplicative inverse of any non-zero $z = (x, y) \in C$ is unique and it equals $z^{- 1} = (u, v)$ , where
$u = (\frac{x}{x^{2} + y^{2}})$
$v = \frac{- y}{x^{2} + y^{2}}$

Betsy Rhone 2022-01-16

Find the quotient
$\frac{z_{1}}{z_{2}}$
of the complez numbers
$z_{1} 50 ({\cos 80}^{\circ} + i {\sin 80}^{\circ})$
and
$z_{2} = 4 ({\cos 25}^{\circ} + i {\sin 25}^{\circ}$
Leave answers in polar form.

zagonek34 2022-01-16

Explain how to find the quotient of two complex numbers in polar form.

Bobbie Comstock 2022-01-16

How do I solve this problem: $lim_{z \to 0} \frac{R e (z^{2})}{z + I m (z)}$ ?

zgribestika 2022-01-16

What are the solutions to $z^{4} - 2 z^{2} + 4 = 0$ ?

widdonod1t 2022-01-16

How many solutions does $\sin (z) = 10$ have in the complex plane?

Deragz 2022-01-16

What's the value of x when $\sin x = 2$ and x is a complex number?

dedica66em 2022-01-16

What is the residue of $\cos e c^{2} z (at z = 0)$ ?

Russell Gillen 2022-01-16

How do you simplify $(- 3 - i) - (4 - 5 i)$ ?

Joseph Krupa 2022-01-16

How do you write the following quotient in standard form $\frac{2 + i}{2 - i}$ ?

idiopatia0f 2022-01-16

How do you divide $\frac{3}{5 i}$ ?

tearstreakdl 2022-01-16

How do you divide $\frac{3 i}{1 + i} + \frac{2}{2 + 3 i}$ ?

Lorraine Harvey 2022-01-16

How do you simplify $\frac{1}{1 + i}$ ?

elvishwitchxyp 2022-01-16

How do you simplify $i^{100}$ ?

Dowqueuestbew1j 2022-01-16

How do you simplify $(3 + 11 i) + (10 - 5 i)$ ?

Karen Simpson 2022-01-16

How do you perform the operation and write the result in standard form given ${(2 - 3 i)}^{2}$ ?

zagonek34 2022-01-16

How do you simplify $(- 6 - 8 i) (- 3 + 8 i)$ ?

hunterofdeath63 2022-01-16

How do you simplify $(1 - 4 i) (2 + i)$ ?

Regardless if you’re dealing with complex numbers problems or need to find the answers to the complex numbers equation, do not let it bring you down as we shall provide you with complex numbers examples that will help you find the answers. Our complex numbers problems will offer you various solutions that can be matched to your instructions and the problems that you have. It is recommended to start with the complex numbers answers by going straight to your instructions to understand how exactly complex numbers differ. Have a look at our complex numbers questions and come up with solutions.

Precalculus

Understanding Complex Numbers - Examples and Equations