Proof of quadratic trinomial by factorization Title, such as

Proof of quadratic trinomial by factorization Title, such as

Do you mean ax ^ 2 + BX + C = a (x + x1) (x + x2)?
(where X1 + x2 = - B / Z, x1x2 = C / a)
Obviously, by opening the brackets on the right and comparing the coefficients, we can get this formula, which exactly corresponds to the equation
ax^2+bx+c=0
It's that simple
Factorization of quadratic trinomial
2x square-x-3
Multiplication by cross! The coefficient of quadratic term is 2,2 = 2 * 1, so it can only be divided into 1,2 groups. The number of terms is - 3, which can be divided into 1, - 3 and - 1,3 groups. Then observe and see that 2 * 1 + 1 * - 3 = - 1, - 1 is the coefficient of quadratic term, so choose 1,2 and 1, - 3, and cross again, there will be (2x-3) (x + 1). If you don't know, ask again
5x5-15x3y-20xy2
The fifth power of 5x minus the third power of 15x, y minus the square of 20XY
3a2b2-17abxy+10x2y2
Those 2 are square, you should be able to understand it!
5x5-15x3y-20xy2
=5x(x^4-3x²y-4y²)
=5x(x²-4y)(x²+y)
3a2b2-17abxy+10x2y2
=(3ab-2xy)(ab-5xy)
5x5-15x3y-20xy2
=5x(x⁴-3x²y-4y²)
=5x(x²+y)(x²-4y)
3a2b2-17abxy+10x2y2
=3(ab)²-17abxy+(10xy)²
=(ab-5xy)(3ab-2xy)
If you don't understand, you can ask. If you are satisfied, please accept it in time! o(∩_ ∩)o
5x^5-15x^3y-20xy^2
=5x(x^4-3x^2y-4y^2)
=5x(x^2-4y)(x^2+y)
3a^2b^2-17abxy+10x^2y^2
=(ab-5xy)(3ab-2xy)
1。 Extract the common factor 5x, that is, 5x (x4-3x2y-4y2) = 5x (x2 + y) (x2-4y)
2.(3ab-2xy)(ab-5xy)
Let's decompose x 2, AB into the common factor of x 2, ab
Ask me if you don't understand
5xˆ5-15xˆ3y-20xyˆ2
=5x(xˆ4-3xˆ2y-4yˆ2)
=5x(xˆ2-4y)(xˆ2+y)
3aˆ2bˆ2-17abxy+10xˆ2yˆ2
=(3ab-2xy)(ab-5xy)
5x(X^4-3x^2y-4y^2)=5x(x^2-4y)(x^2+y)
(3ab-2xy)(ab-5xy)
Study hard, hope to help you!
3x+5=4x+1.
The results show that: - x = - 4, x = 4
From May 19, 2007, the people's Bank of China raised the deposit interest rate
Current deposit: 0.72% interest rate before adjustment and 0.72% after adjustment
One year fixed deposit: the annual interest rate before the adjustment is 2.79%, and after the adjustment is 3.06%
Xiao Ming's father has a one-year fixed deposit certificate of 10000 yuan deposited before May 19, 2007. In order to obtain greater interest income, he wants to transfer this deposit to one-year fixed deposit after interest rate adjustment. Ask him whether he should transfer it? Please explain the reason
Agreement: 1. The number of days of deposit is calculated as whole days, and the interest is calculated as 360 days a year
2. Comparative interest refers to the comparison of the interest obtained within one year from the first deposit date. If the deposit is not transferred, the interest is calculated according to the one-year fixed rate before the adjustment; if the deposit is transferred, the interest on the days of deposit before the transfer is calculated according to the current interest rate, and the interest on the remaining days after the deposit is calculated according to the one-year fixed rate after the adjustment (the principal remains unchanged before and after the transfer)
Please list the following formula
If it has been deposited for a long time, it is not cost-effective to transfer; if it has just been deposited for a short time, it is cost-effective to transfer
It's my math expert again. Please help me to solve the factorization exercises!
-a2-4a2+12a
Just on the first day of junior high school to these questions, half will not!
-a^3-4a²+12a
=-a(a²+4a-12)
=-a(a+6)(a-2)
-a2-4a2+12a
=-5a²+12a
=a(-5a+12)
Maybe it's not right
-a³-4a²+12a
=-a(a²+4a-12)
=-a(a-2)(a+6)
-a(5a+12)
Why is 3x = 4 + 4x a process?
5-1=4x-3x
4=x
∴x=4
transposition
5-1=4x-3x
4=x
X=4
3x+5=4x+1
3x+5-3x-1=4x+1-3x-1
X=4
Send points
1. A student found that the unit price of Walkman and schoolbag is the same in supermarket a and supermarket B. the sum of the unit price of Walkman and schoolbag is 452 yuan, and the unit price of Walkman is 8 yuan less than 4 times that of schoolbag
(1) How much is the unit price of the Walkman and schoolbag that the student likes
(2) One day, the student went to the street and just caught up with the promotion of the business. Supermarket a gave a 20% discount on all the goods, while supermarket B gave a 30 yuan coupon for all the goods over 100 yuan. But he only brought 400 yuan. If he only bought these two kinds of goods in one store, can you tell him which one he can choose? If he can choose both of them, Which one is more economical?
The solution of quadratic equations with two variables
1. Set X Yuan for Walkman and Y yuan for schoolbag, and set up the equation
x+y=452
x=4y-8
Solution
x=360
y=92
2. If a store gives 20% discount, it will cost 452 * 0.8 = 361.6 yuan
In store B, you can buy a walkman for 360 yuan, get a 90 yuan shopping coupon, and then add 2 yuan to buy a schoolbag
The total cost is 362 yuan
So save money in store a
1. A student found that the unit price of Walkman and schoolbag is the same in supermarket a and supermarket B. the sum of the unit price of Walkman and schoolbag is 452 yuan, and the unit price of Walkman is 8 yuan less than 4 times the unit price of schoolbag. How much are the unit prices of Walkman and schoolbag?
Set the Walkman X Yuan, schoolbag y yuan.
According to the meaning of the title:
x+y=452
{
x=4y-8
The solution is as follows
x=360
{
y=92
After examination, it is consistent with the meaning of the question.
a3-5a2b+6ab2
7(x+y)3-5(x+y)2-2(x+y)
a3-5a2b+6ab2
=a(a²-5ab+6b²)
=a(a-2b)(a-3b)
7(x+y)3-5(x+y)2-2(x+y)
=(x+y){7(x+y)²-5(x+y)-2}
=(x+y){7(x+y)+2}{(x+y)-1}
=(x+y)(7x+7y+2)(x+y-1)
3x/200+4x=0.5
3x/200+4x=0.5
3x=0.5(200+4x)
3x=100+2x
3x-2x=100
x=100
In the top right corner of my answer, click comment, and then you can choose satisfied, the problem has been solved perfectly