Solving 300 factorization problems

Solving 300 factorization problems

X ^ 2-3x + 2 = 02.2x ^ 2-x-3 = 03. (x + 2) ^ 2 + X + 2 = 04.3x ^ 2-27 = 0.1. (x-1) (X-2) = 0 x = 1 or x = 22. (2x-3) (x + 1) = 0 x = 3 / 2 or x = - 13. (x + 2 + 1) (x + 2) = 0 x = - 1 or x = - 24. X ^ 2-9 = 0 (x + 3) (x-3) = 0 x = - 3 or x = 3

Factoring x to the 16th power minus 256

x^16-256
=(x^8)^2-16^2
=(x^8-16)(x^8+16)
=(x^4-4)(x^4+4)(x^8+16)
=(x^2-2)(x^2+2)(x^4+4)(x^8+16)

Factorization x (x-1) (x + 1) (X-2) - 8
It's urgent. It's before 9 o'clock

The original formula = [x (x-1)] [(x + 1) (X-2)] - 8
=(x²-x)(x²-x-2)-8
=(x²-x)²-2(x²-x)-8
=(x²-x-4)(x²-x+2)

Master Li and Master Wang can process a batch of parts at the same time, and they can work together for 6 hours. It is known that Master Li can process 5 parts per hour; Master Wang can process 11 hours alone, and how many parts per hour can master Wang process

Set up Master Wang to process x pieces per hour
There are 11x parts in total
Two people can work together for six hours
Master Li made 30 in six hours
Master Wang made 6x in 6 hours
30+6X=11X
30=5X
X=6
A: Master Wang processes 6 pieces per hour

Set up equations to solve practical problems: the side length of a square increases by 3cm, and its area increases by 45cm2. Find the original side length of the square

Let the length of the original square be xcm. According to the meaning of the title, we get (x + 3) 2-x2 = 45, that is, 3 (2x + 3) = 45. The solution is x = 6. Answer: the original length of the square is 6cm

Why is the orbit of the moon around the earth elliptical

We know that the orbit of the satellites of Jupiter and other planets is round, and the orbit of the earth and other planets is oval. Why? According to the Earth expansion theory, the orbit of the satellites is round because the satellites are captured, and the orbit of the planets is oval because the planets are formed by the explosion of the sun

There must be an answer tomorrow
A 200 meter long train passes through a cave at the speed of 18 km / h. It takes two minutes to find the length of the cave
It's due tomorrow,

(analysis: because the train is very long, the time it takes for the train to pass through the cave should be counted from the time when the locomotive enters the cave to the time when the train leaves the cave at the end of the train. Taking the locomotive as the reference point, the distance that the locomotive moves within 2 minutes is actually the length of the cave and the length of the train, that is, the AC in the picture.)

The perimeter of an equilateral triangle is 18cm, and its height is a meter. How many square meters is its area?

The side length of an equilateral triangle is 2 root sign 3 / 3 times height, and the area is the side length times half height
So area s = 2 root sign 3 / 3 * a * a * / 2 = 3 / 3 root sign 3 A & # 178; m2

Calculation: 3.14-6.28 + 9.42-12.56 + 15.7-18.84 + 47.1

3.14-6.28+9.42-12.56+15.7-18.84+47.1，=3.14-3.14×2+3.14×3-3.14×4+3.14×5-3.14×6+3.14×15，=3.14×（1-2+3-4+5-6+15），=3.14×12，=37.68．

If the definition field of function y = x ^ 2-4x-2 is [0, M], and the value range is [- 6, - 2]. What is the value range of M?
The answer is [2,4],
The answer process should be detailed
（（（（（p244,4））））））

The axis of symmetry of the function y is 2 and the minimum value is - 6
When x = 0, y = - 2, from the axis of symmetry, when x = 4, y = - 2
It can be seen that M is greater than or equal to 2 and less than equal to 4
That is [2,4]