Solution inequality: 2x2-5x + 3 < 0

Solution inequality: 2x2-5x + 3 < 0


∵ the inequality 2x2-5x + 3 < 0 can be reduced to (2x-3) (x-1) < 0, and the solution is 1 < x < 32; the solution set of the original inequality is {x | 1 < x < 32}



Mathematicians help me solve this equation!
I cycled to the mountain to play, first through a section of flat road, and then cycled up to the top of the mountain. It took me one hour to return home along the original road. It took only 45 minutes. It is known that my speed up and down the flat road is 4:3:6. How much time did I spend on the flat road


The speed of uphill and downhill on the level road is 4V, 3V and 6V respectively. It takes X minutes on the level road
4vx+3v(60-x)=4vx+6v(45-x)
The solution is x = 30



We need to forge a rectangular aluminum material with a length of 30 cm, a width of 20 cm and a height of 10 cm into a cylindrical material with a bottom diameter of 20 cm. We need to find out the height of the cylindrical material. If the symbol can't be typed, we need to make it clear


The height is x cm
30x20x10=(3.14x10x10)x X
X = 19.1cm



Mathematical problems, equation solution, 5 points, master into! To 1 yuan 1 equation
There are two kinds of rooms: double room and three person room. They are classified into ordinary and luxury. (the price is calculated in days). The ordinary double room is 140 yuan, the luxury one is 400 yuan, the ordinary three person room is 150 yuan, and the luxury one is 300 yuan. In order to attract tourists, the ordinary room is 50% off, They live in some ordinary double rooms and triple rooms. If each room is full, the total cost is 1510 yuan
Q: (1) how many rooms are there for three and double in this tour group?
(2) If the deluxe room is 40% off, how much does it cost to stay in the same way as the ordinary room (double, triple)
The question is not very clear. If you don't understand it, you can say it
Thank you. I've done it. Thank you all. I'll give you points on the first floor


(1) 13 for two, 8 for three
(2) 3040 yuan



A group of young pioneers cross the river by boat. If each boat takes 15 people, there are 9 people left. If each boat takes 18 people, there is just one boat left. How many young pioneers are there? How many boats are there?


The number of boats: (9 + 1 × 18) / (18-15), = 27 / 3, = 9 (boats); the number of boats: 15 × 9 + 9 = 144 (people); a: there are 144 young pioneers, including 9 boats



A and B each have several yuan. It is known that a has three times more money than B. when a spends one third of it, he spends the remaining one third. If a gives B seven yuan, then the money of a and B is exactly the same. How much did a have?


Suppose that a yuan has money X Yuan
x*(1-1/3)(1-1/3)-7=x*1/4+7
7/36 x=14
x=72
A: Jia Yuan has 72 yuan



At the end of each quarter, Mr. Zhang records the degree on the meter. The following table is the latest two records
Record the reading / kWh on the meter
31 March 1624
30 June 1810
How many kilowatt hours does Uncle Zhang use per month in the second quarter?
Solve by equation


Mr. Zhang's average monthly electricity consumption in the second quarter is x kwh
(6-3)X=1810-1624=186
The solution is x = 62 kwh



Li Hong and Zhang Ming compete in cycling: when Li Hong reaches 3 / 4 of the whole journey and Zhang Ming just rides 4 / 5 of the whole journey, the distance between them is 60 meters. How many meters is the whole journey?
There are 980 science and technology books in the library, 20 less than 6 times of the comic books. How many comic books?
It takes 15 days for a batch of goods to transport 320 tons per day. If the number of days is reduced to 80%, how many more tons per day?
The railway from Shanghai to Tianjin is 1390 kilometers long. Two trains run from two places at the same time and meet each other 10 hours later. One train runs 55 kilometers per hour on average. How many kilometers does the other train run per hour?
The grain stored in warehouse A is 5 / 2 of that in warehouse B. If 90 tons are transported from warehouse A, the grain stored in warehouse A is exactly the same. How much grain is stored in warehouse B?
(x-0.16) △ 0.13 = 1.8 2x + 4.5 × 3 = 14.5 3 / 5 △ (x-4) = 2 / 3
6 out of 5 × (5-x) = 3 out of 7
One in two of a number is 30 less than four in five. What's the number?
The difference of 2 / 3 minus 1 / 2 multiplied by a number equals 2 / 7. What's the number?
Three times of a number is 1.8 less than five times of it
20% of 120 is 24 less than 4 / 5 of a number. What's the number?
X is a natural number, when x (), 5x-4 × 6 = 16; when x (), 5x-4 × 6 is greater than 16; when x (), 5x-4 × 6 is greater than 0
A batch of parts a, t hours after processing, a of T represents ()


1. Li Hong and Zhang Ming have a cycling race: when Li Hong reaches 3 / 4 of the whole course and Zhang Ming just rides 4 / 5 of the whole course, the distance between them is 60 meters. How many meters is the whole course? 60 / (4 / 5-3 / 4) = 1200 meters. 2. There are 980 scientific and technological books in the library, 20 more than 6 times of the comic books. How many comic books? (980-20) / 6 = 160 3



The area of a triangle is 37.2 square meters, (the value of height = the value of x). [the height is x meters] [the bottom is 12 meters]
Using equation


Area of triangle = bottom × height △ 2
37.2=12×x÷2
37.2=12x÷2
37.2=6x
37.2÷6=x
6.2=x
A: the height is 6.2 meters



Solution of ternary equation
X+Y+Z=100,20X+6Y+Z=200,


2-1
19X+5Y=100
If positive integer is required, it can be classified. If not, it has only relational solution