Given the complex number | Z | = 2, w = 1 + iz in the complex plane, find the trajectory equation of the point corresponding to W

Given the complex number | Z | = 2, w = 1 + iz in the complex plane, find the trajectory equation of the point corresponding to W

I * z = W-1, the square of both sides is - 4 = (W-1) &# 178;, the solution is w = 2I + 1 or w = 2i-1
What do you do after that?
|w-1|=|iz|=|z|=2
So w corresponds to the circle (x-1) ^ 2 + y ^ 2 = 0
Let I satisfy I (Z + 1) = - 3 + 2I, then the real part of Z
Let z = a + bi (a, B ∈ R)
i(a+bi+1)=-3+2i
i(a+1)-b=-3+2i
So a = 1, B = - 3. Then why is the real part 1, not B
The real part of Z is a
See that the title is Z
If the complex number satisfies (Z + 1) (1-2i) = I, then the real part of Z is equal to process
Let z = a + bi, then (a + bi + 1) (1-2i) = I, multiply and open to a + 1 + 2B + (b-2a-2) I = I, and set up the equations
A + 1 + 2B = 0, b-2a-3 = 0, a = - 7 / 5
In English, must like be followed by a noun in the plural?
If not, please give reasons···
Give reasons... I don't want to give examples··
No, like is just a verb, which can be followed by plural or singular. But it depends on whether the following content is a countable noun. For example, fish can't use plural because it is an uncountable noun, but Apple needs to add s!
Of course not. I like my father .
I'm not sure about the first person, the second person, the third person, the singular, the plural and so on. Please tell me
There are also examples
Mathematical answer group for you to answer, I hope to help you
Subject case
First person singular I, second person singular you, third person singular He, she, it
First person plural we, second person plural you, third person plural they (she, it) they
Object case
First person singular me, second person singular you, third person singular him, her, it
The first person plural us us, the second person plural you, the third person plural them, they
Possessive pronoun (attributive)
First person singular my, second person singular your
The third person singular his, her, its
First person plural our, second person plural your
The third person plural their
I wish you a better study*^__ ^ *
The first person is me (we): singular I, plural we, the second person is you (we): singular you, plural you, the third person is him / her (we): singular She, he, plural they give you a name, hope to help you ... unfold
The first person is me (we): singular I, plural we, the second person is you (we): singular you, plural you, the third person is him / her (we): singular She, he, plural they give you a name, hope to help you yours his hers its ours yours theirs
Hope to adopt, the answer is not easy, I wish learning progress
Singular and plural
First person: me: I we: We
Second person: you: you: you
The third person: he: they: they
She: she
It: it
All of these can be used as subjects. For the English you are learning, they are usually placed at the beginning of sentences, such as: I a
Singular and plural
First person: me: I we: We
Second person: you: you: you
The third person: he: they: they
She: she
It: it
These can be used as subjects. For the English you are learning, they are usually placed at the beginning of sentences, such as I am Li Lei
Here's what you can add,
1) I: me we: us you / you: he: She: her it: it they: they, for example: let us go to school. Let's go to school together
2) My: My: Our: Our: your / your: his: her: his: his: her: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his: his. For example: my book his bag
Hope to help you, do not understand can ask me. Put it away
Find the complex number Z + Ӟ = 2
Because | Z | is a real number
Then, the imaginary part of 2Z is 6I
Then, the imaginary part of Z is 3I
Let z = a + 3I
Then, the original equation can be reduced to
2a＋6i＋√(a²＋9)＝2＋6i
That is, √ (A & # 178; + 9) = 2-2a
Square, get
a²＋9＝4a²－8a＋4
That is, 3A & # 178; - 8a-5 = 0
The solution is a = (4 ± √ 31) / 3
So, z = (4 ＋ 31) / 3 ＋ 3I
Or, z = (4 - √ 31) / 3 + 3I
Let z = a + bi
Like can be added -- plural form of noun, uncountable should be added -- or + -- form?
It's a bit confusing
Like V verb after + noun, noun singular and plural to see whether the noun countable
eg I like apples.
he likes her.
Like is a noun. Like is a hobby
eg I have many likes.
Is the singular or plural after the noun none of +?
When "None" refers to a person, the predicate can be plural or singular
When none refers to something, the predicate is singular
None is used to refer to people or things. It can be used with the phrase of. It is used in the singular or plural. It is always used in a certain range
1. None of that money on the table is mine
2. None of us are / is afraid of difficulties
be careful:
1) None of the phrases can't be replaced by no, no one, nothing, nobody, only none
2) None and no one are both negative and only used in affirmative sentences
None of them know me
None of them don't know me
Given that z is a complex number, the modulus of Z + 2Z = 2 + 6I
Let z = a + bi, (a, B ∈ R), then
　√(a^2+b^2)+2a+2bi=2+6i
Thus, the solution of the equations consisting of √ (a ^ 2 + B ^ 2) + 2A = 2, 2b = 6 is obtained
b=3,a=(4±√31)/3
Therefore, z = (4 ± √ 31) / 3 + 3I
Let z = a + bi, (a, B ∈ R), then
　√(a^2+b^2)+2a+2bi=2+6i
Thus, the solution of the equations consisting of √ (a ^ 2 + B ^ 2) + 2A = 2, 2b = 6 is obtained
b=3,a=(4±√31)/3
So, z = (4 ± √ 31) / 3 + 3I is like this
I like a hamburger to plural
I like hamburgers
We like some hamburgers