All categories

3 years ago

Is the square of a complex number always a real number? Explain how, please I would like to finish this tonight.

Mathematics

2 answers:

Artemon [7]3 years ago

7 0

Answer:

The absolute square of a complex number is calculated by multiplying it by its complex conjugate. This give the magnitude squared of the complex number. The absolute square is Always Real. We will use complex exponentials all the time.

seraphim [82]3 years ago

7 0

Answer:

Step-by-step explanation:

I don't thing it is very often unless it is of the form

When you square that, you get a real number (5i)^2 = - 25

On the other hand when you have a binomial like

3 + 2i

and you square that, the result is still a complex number.

(3+2i)(3+2i) = 9 + 6i + 6i + 4i^2 = 5 + 12i

You might be interested in

A jar contains 6 red balls, 3 green balls, 5 white balls and 7 yellow balls. Two balls are chosen from

jeka57 [31]

Answer:

A jar 6red ball 3green ball 5 white ball 7yellow ball

5 0

3 years ago

I need help from uh all..

DanielleElmas [232]

Answer:

Step-by-step explanation:

Given expression is,

$\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})$

To prove this identity we will take the right side of the identity,

$\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})$

$=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})$

$=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]$

$=\frac{1}{2}(\frac{2}{\text{tan}A} )$ [Since $\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}$ ]

= cot A

Hence right side of the equation is equal to the left side of the equation.

3 0

3 years ago

Help me on this math promblem it’s also a missing and is effecting me

Vlad1618 [11]

Answer:

$20.42

Step-by-step explanation:

Given that:

Price of tablet computer = $255.25

Sales tax = 8%

Sales tax will be calculated as follows:

tax amount = 0.08 (255.25)

tax amount = $20.42

So Azim will spend $20.42 on the sales tax.

i hope it will help you!

4 0

4 years ago

A container has 12 and 3/4 cups of lemonade .asher gives each of his classmates 7/8 of a cup of lemonade . He gives away all of

Agata [3.3K]

Asher gave lemonade to 14 students

Solution:

Given that, A container has 12 and $\frac{3}{4}$ cups of lemonade

Asher gives each of his classmates $\frac{7}{8}$ of a cup of lemonade

To find: Number of classmates received the lemonade

From given question,

Total cups of lemonade = $12\frac{3}{4}$

$\rightarrow 12\frac{3}{4} = \frac{4 \times 12 + 3}{4} = \frac{51}{4}$

cups of lemonade received by each classmate = $\frac{7}{8}$

Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate

$\rightarrow \frac{\frac{51}{4}}{\frac{7}{8}}=\frac{51}{4} \times \frac{8}{7}$

$\rightarrow 14.57$

Thus Asher gave lemonade to 14 students

3 0

3 years ago

I need help asap!!!!!!!!!!!!!

Tatiana [17]

Answer:

Step-by-step explanation:

7 0

3 years ago