(x-4) square = (5-2x) square

(x-4) square = (5-2x) square


Direct prescription
x-4=±(5-2x)
x-4=5-2x.x=3
x-4=-(5-2x)=2x-5,x=1
So x = 3, x = 1
Or the square difference
(x-4)²-(5-2x)²=0
(x-4+5-2x)(x-4-5+2x)=0
(1-x)(3x-9)=0
x=1,x=3



Factorization of junior three
How to solve (x + 6) (X-7) = 14 and 7x (3-x) = 4 (x-3)?


(x+6)(x-7)=14
x²+6x-7x-42=14
x²-x-56=0
(x-8)(x+7)=0
The solution is x = 8 or x = - 7
7x(3-x)=4(x-3)
21x-7x²=4x-12
7x²-17x-12=0
(7x+4)(x-3)=0
The solution is x = - 4 / 7 or x = 3



(a + b) (a + b-2ab) + (AB-1) (AB + 1) answer with factorization
It is calculated in the way of grade one,


(a+b)(a+b-2ab)+(ab-1)(ab+1)
=(a+b)^2-2ab(a+b)+(ab)^2-1
=(a+b-ab)^2-1
=(a+b-ab-1)(a+b-ab+1)



Factorization: (a + b-2ab) (a + b-2) + (1-ab) ^ 2


(a+b-ab-1)^2



Is f (x) = - 2x + 3 an odd function?


F (- x) = 2x + 3 - f (x) = 2x - 3 F (- x) ≠ - f (x), so this function is not odd



Winter vacation homework of grade 6 in primary school
I'm an expert at finding mistakes
( )1.A.Go straight B.at five C.minutes.
( )2.A.Thank you B.for C.comes.
( )3.Look A.at me B.near the C.door.
( )4.The school A.is east B.on the C.cinema.
( )5.A.Turn right B.on the C.bookstore.
Change the sentence patterns as required
I'm going to clean my room this afternoon
_______________________________________________________
2. Are you going to the cinema this evening
________________________________________________________
3. I'm going to the park tomorrow
_____________________________________________________
4. I'm going to visit my aunt on Sunday
_________________________________________________
Do you know the usage of the copula be (am, is, are)
1.I________ going to the zoo this afternoon.
2.She_________ going to take a trip tomorrow.
3.He__________ going to read a storybook tonight.
4.We________ going to the cinema this evening.
5.What________ they going to do on the weekend?
Conjunctions form sentences
1.weekend to you are what on going do the
________________________________________
2.I going am weekend to visit grandparents my this
_____________________________________________________
3.bus zoo I'm by going the to
__________________________________
Read the passage and choose the right answer
Hello, I am Amy. I'm going to have a busy weekend! On Saturday, I'm going to the shoe store by bus. I'm going to buy a pair of shoes for my mother. Then I'm going to go home and read some magazines. On Sunday, I'm going to the zoo with my sister. Then, in the evening, I'm going to visit my friend Chen Jie. We are going to piay computer games together.What about you?
( )1.What's Amy going to do on Sunday? She's going to the______ .
A.cinema B.zoo C.hospital
( )2.—What are Amy and her friend going to do on Sunday evening?
—They are going to_______ .
A.piay computer games B.watch TV C.buy some books
( )3.Amy is going to the zoo with______ on Sunday.
A.her uncle B.her brother C.her sisthr
( )4.Where is Amy going on Aaturday?
A.Bookstore. B.Shoe store. C.Zoo
( )5.How is Amy going to the shoe store?
A.On foot B.By car. C.By bus.
Write the corresponding forms of the following words as required
Far (antonym)______ East (antonym)________
By (homonym)_______ I (homonym)_________
For (homonym)_______ To (homonym)________


I'm an expert at finding mistakes
( B for )1.A.Go straight B.at five C.minutes.
( C coming )2.A.Thank you B.for C.comes.
( B at )3.Look A.at me B.near the C.door.
( B of the )4.The school A.is east B.on the C.cinema.
( B at )5.A.Turn right B.on the C.bookstore.
Change the sentence patterns as required
I'm going to clean my room this afternoon
I am not going to clean my room this afternoon.
2. Are you going to the cinema this evening
I'm going to the cinema this evening
3. I'm going to the park tomorrow
Where you going tomorrow?
4. I'm going to visit my aunt on Sunday
What are you going to do this sunday?
Do you know the usage of the copula be (am, is, are)
1.I___ am_____ going to the zoo this afternoon.
2.She____ is_____ going to take a trip tomorrow.
3.He____ is______ going to read a storybook tonight.
4.We___ are_____ going to the cinema this evening.
5.What_____ are___ they going to do on the weekend?
Conjunctions form sentences
1.weekend to you are what on going do the
What are you going to do on the weekend?_
2.I going am weekend to visit grandparents my this
I am going to visit my grandparents this weekend.
3.bus zoo I'm by going the to
I"m going to the zoo by bus.
Read the passage and choose the right answer
Hello,I am Amy.I'm going to have a busy weekend!On Saturday,I'm going to the shoe store by bus.I'm going to buy a pair of shoes for my mother.Then I'm going to go home and read some magazines.On Sunday,I'm going to the zoo with my sister.Then ,in the evening, I'm going to visit my friend Chen Jie.We are going to piay computer games together.What about you?
( B )1.What's Amy going to do on Sunday?She's going to the______ .
A.cinema B.zoo C.hospital
( A )2.—What are Amy and her friend going to do on Sunday evening?
—They are going to_______ .
A.piay computer games B.watch TV C.buy some books
( C )3.Amy is going to the zoo with______ on Sunday.
A.her uncle B.her brother C.her sisthr
( B )4.Where is Amy going on Aaturday?
A.Bookstore.B.Shoe store.C.Zoo
( C )5.How is Amy going to the shoe store?
A.On foot B.By car.C.By bus.
Write the corresponding forms of the following words as required
Far (antonym) near East (antonym)_ west
By (homonym)_ By I__ eye
For (homonym)__ Four to___ too



The natural numbers are grouped in the following order: one number in the first group, two numbers in the second group, three numbers in the third group, n numbers in the nth group, 1) find the numbers in the kth group?
The natural numbers are divided into the following groups: one number in the first group, two numbers in the second group, three numbers in the third group, and N numbers in the nth group, namely (1), (2,3), (4,5,6)
1) Find the sum of the numbers in group K;
2) Find the sum of the first n groups


The first number of Group K is K (k-1) / 2 + 1, and the last one is K (k-1) / 2 + K
The sum of each number in Group K is
{[k(k-1)/2+1]+[k(k-1)/2+k]}*k/2=(k*k+1)*k/2=(k^3+k)/2
The sum of each number in the nth group is (n ^ 3 + n) / 2
Divide the sum of the first n groups into (1 ^ 3 + 2 ^ 3. + n ^ 3) / 2 and (1 +... + n) / 2
(1^3+2^3.+n^3)/2=[n(n+1)/2]^2
(1+...+n)=n(n+1)/2
So (n ^ 3 + n) / 2 = {[n (n + 1) / 2] ^ 2 + n (n + 1) / 2} / 2
=n(n+1)(n^2+n+2)/8



It is known that the equation KX ∧ (2 + k) - 1 = 0 about X is a linear equation of one variable, and the value of K ∧ 2013


We know that 2 + k = 1 satisfies the definition of linear equation with one variable
So k = - 1
So K ^ 2013 = - 1



Xiao Li bought 14 New Year cards and postcards at a cost of 40 yuan. Each new year card costs 2.5 yuan and each Postcard costs 3.5 yuan. How many new year cards and postcards did Xiao Li buy?


New Year cards: (3.5 × 14-40) / (3.5-2.5) = 9 (pieces); postcards: 14-9 = 5 (pieces); a: he bought 9 New Year cards and 5 postcards



If you give three different natural numbers, one of them must have even sum of two numbers. Do you think it's right? Please explain the reason


Two of the three numbers must be the same as the sum of odd and even numbers (drawer principle)