3.2x-3 = 3x + 5

3.2x-3 = 3x + 5

3.2x-3x=3+5;
0.2x=8;
x=40;
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2 x = 8
x=40
3.2x-3x=5+3
0.2x=8
x=40
3.2x-3x=3+5
0.2x=8
x=40
The solution equation: (3x-5) / (x-1) - (2x-5) / (X-2) = 1
(3x-5)/(x-1)-(2x-5)/(x-2)=1
(3x-5)(x-2)-(2x-5)(x-1)=(x-1)(x-2)
(3x²-11x+10)-(2x²-7x+5)=x²-3x+2
3x²-11x+10-2x²+7x-5-x²+3x-2=0
-x+3=0
X=3
It is tested that x = 3 is the root of the original equation
So: the root of the original equation x = 3
Two sides multiply (x-1) (X-2) at the same time to expand the simplification
X=3
X=3
(3x-5)/(x-1)-(2x-5)/(x-2)=1
(3x-3-2)/(x-1)-(2x-4-1)/(x-2)=1
3-2/(x-1)-[2-1/(x-2)]=1
3-2/(x-1)-2+1/(x-2)=1
1-2/(x-1)+1/(x-2)=1
-2/(x-1)+1/(x-2)=0
-2(x-2)+(x-1)=0
-2x+4+x-1=0
-x+3=0
X=3
It is proved that x = 3 is the solution of the equation
Find the known value of ^ A + 2, B + 2, X-1 + 5
Ax ^ 2 + (b-2a) x + A-B + C = 0, so a = 3, b-2a = 2, B = 2 + 6 = 8, A-B + C = 5, C = 5 + 8-3 = 10
It seems that the conditions given by the title are not enough?
Given that the intercept of the quadratic function y = x2 MX + M-1 on the y-axis is equal to 3, the analytic expression of the quadratic function is____ : vertex coordinates____ : axis of symmetry____ Fill in the answer,
The intercept of y = x & sup2; - MX + M-1 on the Y axis is equal to 3
That is, when x = 0, the value of Y is equal to 3
So M-1 = 3
M=4
Substitute M = 4 to get
y=x²-4x+3
y=(x-2)²+1
The analytic expression of quadratic function is y = x & sup2; - 4x + 3
The vertex coordinates are (2,1) and the axis of symmetry is x = 2
On the y-axis, the intercept is 3, that is, the function is over (0,3). Substituting this point into the formula is 3 = M-1, so m = 4, so the formula is y = x2-4x + 3, the vertex is (2, - 1), and the axis of symmetry is x = 2
If the set a = {x | x is less than or equal to 4}, B = {x | x is greater than or equal to a}, satisfying the intersection of a and B = {4}, then what is the real number a equal to?
A = 4 ∩ a = x ≤ 4, B ≥ a, a ∩ B has only one element, a can only be the number when a is equal
In the algebraic formula 2m + N, 3AB, XY, a, - 8, x-y2, the number of monomials is ()
A. 3B. 4C. 5D. 6
In the algebraic formula 2m + N, 3AB, XY, a, - 8, x-y2, there are three monomials: 3AB, a, - 8, so a
Fifth grade math story
1. A burglary happened in a street. The thief was very cunning. There was no clue left at the scene, but the money in the safe disappeared. How could the thief know the password? Conan found a small note on the scene, which said 1008126013861134, but the password can only be three digits. It is similar to this
1. A theft happened in a street. The thief was very cunning. There was no clue left at the scene, but the money in the safe disappeared. How do thieves know the code? Conan found a small note at the scene, which said 1008126013861134, but the password can only be three digits. What does it have to do with these four numbers? All of a sudden, Conan had a flash in his head. He calculated quickly, then pressed three numbers on the safe and it opened. Do you know what the password is? How did you get it? ... unfold
1. A theft happened in a street. The thief was very cunning. There was no clue left at the scene, but the money in the safe disappeared. How do thieves know the code? Conan found a small note at the scene, which said 1008126013861134, but the password can only be three digits. What does it have to do with these four numbers? All of a sudden, Conan had a flash in his head. He calculated quickly, then pressed three numbers on the safe and it opened. Do you know what the password is? How did you get it? Put it away
Aunt's math problem
My mother opened a stationery shop. Today is Sunday. My mother is busy and asked me to go to the shop. After a while, an aunt came. She said that she had to test me before she could tell me what to buy. She said, "Li Hui bought a pencil and an exercise book for 0.48 yuan. Exercise books cost twice as much as pencils. How much is the unit price of pencil and exercise book? " I think about it: exercise books and pencils are three times, as long as the price of pencils can be calculated with 0.48 △ 3, then the price of exercise books can also be calculated. I put the answer out, my aunt praised me: "can carefully divide... Unfold."
Aunt's math problem
My mother opened a stationery shop. Today is Sunday. My mother is busy and asked me to go to the shop. After a while, an aunt came. She said that she had to test me before she could tell me what to buy. She said, "Li Hui bought a pencil and an exercise book for 0.48 yuan. Exercise books cost twice as much as pencils. How much is the unit price of pencil and exercise book? " I think about it: exercise books and pencils are three times, as long as the price of pencils can be calculated with 0.48 △ 3, then the price of exercise books can also be calculated. I put the answer out, aunt praised me: "can carefully analyze the topic, really good!" "You have 0 exercise books here. 6 yuan, 0 for each composition. 9 yuan. I'll buy 10 copies and give you 8.1 yuan. Keep the change. How many exercise books and composition books should you give me I thought for a while and said, "suppose that 10 books are all composition books, which need 10 × 0.9 = 9 yuan, and the actual payment is 8.1 yuan, which is 9-8.1 = 0.9 yuan less than the assumption, and the actual composition book is 0.9-0.6 = 0.3 yuan more than the exercise book, then the exercise book is 0.9 △ 0.3 = 3, and the composition book is 10-3 = 7." After that, my aunt praised me for being smart, and I was very happy. Later, my aunt bought some stationery, and I was still in joy when I checked out. As a result, I miscalculated the money, but I didn't find it. My aunt said to me, "you, you'll be overjoyed if you praise me. I misread the decimal point of the money I should pay. As a result, I paid 15 less. Three yuan. " "Sorry, the decimal point has moved one place to the left, which is 10 times smaller than the original price, and the difference is 9 times. It's only 15.3 △ 9 = 1.7 yuan. Because it's 10 times smaller just now, it's 1.7 × 10 = 17 yuan." My aunt bought some stationery and left.
Today, my aunt thought: I want to make more efforts in mathematics! Put it away
First simplify, then evaluate: (3x2-4x + 5) (3x2 + 4x-5) - X2 (9x2-16), where x = 120
(3x2-4x + 5) (3x2 + 4x-5) - X2 (9x2-16) = [3x2 - (4x-5)] [3x2 + (4x-5)] - 9x4 + 16x2 = 9x4 - (4x-5) 2-9x4 + 16x2 = 9x4-16x2 + 40x-25-9x4 + 16x2 = 40x-25 when x = 120, the original formula = 40 × 120-25 = - 23
The area of the intersection of the two points of a + B + 2 and a + C + 2 is obtained?
Because it intersects with the y-axis at C, AB is 1 long, and the area of triangle ABC is 2
So C = 4 or - 4
X1-x2 = radical (x1 + x2) ^ 2-4x1x2 = radical (B / a) ^ 2-4c / a = 1
b^-4ac/a^2=1
So one of them is a = 1, C = 4
B ^ 2 = 16, B = 4 or - 4
Set a = (x | - 2 is less than or equal to x, X is less than or equal to 2, X belongs to real number) B = (x | - x is greater than or equal to a) and a is less than or equal to B, then real number
Draw the area of set a and set B on the number axis
Because a is a subset of B
So area B should include area A
So a > = 2
A=(x| -2=2#