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2 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]2 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]2 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

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Answer please! i will give brainliest !!!!

Damm [24]

The correct answer is b :)

4 0

2 years ago

Read 2 more answers

What is the solution of sqrt x+2-15=-3

antiseptic1488 [7]

Answer:

Step-by-step explanation:

Without brackets, we are not exactly sure what is under the root sign. There are 3 choices.

sqrt(x) + 2 - 15 = - 3

sqrt(x + 2) - 15 = - 3

sqrt(x + 2 - 15) = - 3

I think the middle one is what you intend. If not leave a note.

sqrt(x + 2) - 15 = - 3 Add 15 to both sides.

sqrt(x + 2) - 15+15 = - 3+15 Combine

sqrt(x + 2) = 12 Square both sides

x + 2 = 12^2 Do the right

x + 2 = 144 Subtract 2 from both sides.

x + 2-2 = 144-2

x = 142

3 0

3 years ago

Arrange in order from greatest to least using the > sign : 8.067 / 8.006/8.06

Assoli18 [71]

Answer:

8.067>8.06>8.006

Step-by-step explanation:

Remember that what ever the number is after the decimal is the the greatest.

5 0

3 years ago

Solve the inequality 2x+y >1

Wittaler [7]

The answer is y>-2x+1

4 0

2 years ago

At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of

Mekhanik [1.2K]

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers $p$ and $q$ .

Then to find the ratio $p:q$ , we need to divide p by q and represent it in the simplest form $\frac{a}{b}$ such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

$Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}$

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

$\dfrac{70}{28}$

Now, let us divide the numerator and denominator by 14:

$\dfrac{5}{2}$

So, the ratio is 5 : 2

6 0

2 years ago