If one root of the real coefficient equation x * x + ax + 2B = 0 is greater than 0 and less than 1, and the other root is greater than 1 and less than 2, what is the value range of (b-2) / (A-1)

Find a mathematical problem real coefficient equation x2 + ax + 2B = 0
One root of the real coefficient equation x2 + ax + 2B = 0 is between 0 and 1, and the other root is between 1 and 2,
(1) Finding the value range of B-2 / A-1
(2) The value range of a-2b-3

1.
Let f (x) = x2 + ax + 2B
According to it, the two roots are between 0-1 and 1-2
yes
f(0)=2b>0
f(1)=1+a+2b0
Taking a as the x-axis and B as the y-axis to establish the coordinate system, then f (0), f (1) and f (2) can be expressed by linear programming, and a value area about a and B, B-2 / A-1, can be obtained
It represents the slope from point to point (1,2) in the region, and the value range can be (1 / 4,1) by combining number with shape
two

If the root of the equation 2013a + 1 / 2 AX-1 = 1 of X is x = 2014, then the value of a?

Substituting x = 2014 into the original equation, we get
(2014a-1)/(2013a+1)=1,
Then 2014a-1 = 2013a + 1,
Then a = 2

The two workers, a and B, worked together to process a batch of machine parts and completed the task in 20 days. It is known that a makes three more parts a day than B, and B asks for five days' leave in the middle of the day, and the number of parts completed by B is exactly half of that of A. how many parts are there in this batch?

The number of parts completed by Party B is exactly half of that of Party A. then: Party B completes 13% of the total workload, and Party A completes 23% of the total workload; Party A's work efficiency: 23 △ 20 = 130; Party B's work efficiency: 13 △ 20-5, = 13 △ 15, = 145; 3 △ 130-145, = 3 △ 190, = 270; answer: the total number of parts is 270

4.8x-2x = 5.6

4.8x-2x=5.6
2.8x=5.6
x=2

There are 100 tons of grain in warehouse A and 80 tons in warehouse B. how many tons of grain are taken from warehouse A and distributed to warehouse B? The ratio of grain in warehouse A and warehouse B is 7:11?

7 + 11 = 18100 - (100 + 80) × 718 = 100-180 × 718 = 100-70 = 30 tons. A: after 30 tons are taken from warehouse A and distributed to warehouse B, the ratio of grain in warehouse A and warehouse B is 7:11

Using the common factor method to solve the equation: 2x-7x + 3 = 0

2x-7x + 3 = 0 2x-6x-x + 3, that is, 2x (x-3) - (x-3) = 0 (2x-1) (x-3) = 0 (2x-1 / 2) or x = 3

There are 180 books on the upper shelf and 240 books on the lower shelf. Take them out from the upper shelf______ If this book is put in the lower layer, the books in the lower layer will be twice as large as those in the upper layer

180 - (180 + 240) △ 2 + 1, = 180-420 △ 3, = 180-140, = 40 (copies); answer: take out 40 books from the upper layer and put them into the lower layer, so that the books in the lower layer are exactly twice of those in the upper layer

If Sn = 2, s3n = 14, then s4n is equal to ()
A. 80B. 30C. 26D. 16

Let the common ratio of {an} be equal to Q, ∵ Sn = 2, s3n = 14, ∵ Q ≠ 1 ∵ A1 (1-qn) 1-Q = 2, A1 (1-q3n) 1-Q = 14, and the solution is & nbsp; QN = 2, a11-q = - 2. ∵ s4n = a11-q (1-q4n) = - 2 (1-16) = 30

1. Use the five numbers 1, 2, 3, 4 and 5 to form a three digit number and a two digit number. Use the calculator to find out the maximum product of the two numbers
2. Use the five numbers 0, 2, 4, 5 and 6 to form a three digit number and a two digit number. Use the calculator to find out the maximum product of the two numbers
3. Use the five numbers of 0, 3, 4, 8 and 9 to form a three digit number and a two digit number

1. Use 1,2,3,4,5 to form a three digit number and a two digit number, use calculator to find out the maximum product of the two numbers: 521 * 43 = 224032, use 0,2,4,5,6 to form a three digit number and a two digit number, use calculator to find out the maximum product of the two numbers: 620 * 54 = 334803, use 0,3,4

If one root of the real coefficient equation x * x + ax + 2B = 0 is greater than 0 and less than 1, and the other root is greater than 1 and less than 2, what is the value range of (b-2) / (A-1)