On the equation B & # 178; / AX-1 = 0 of X (the solution of a is not equal to 0 x = 4, then the value of AB & # 178; / (A-2) &# 178; + B & # 178; - 4 is

On the equation B & # 178; / AX-1 = 0 of X (the solution of a is not equal to 0 x = 4, then the value of AB & # 178; / (A-2) &# 178; + B & # 178; - 4 is


Substituting the solution into B ^ 2 = 4A
Then the original formula = 4A ^ 2 / (A-2) ^ 2 + 4a-4 = 4



Solve the equation about X: ax + B = BX + a (a is not equal to b)
Process and answer!


ax+b=bx+a
It is shown that ax BX = a-b
Merge congeners: (a-b) x = a-b
Because a is not equal to B
So x = 1



1. If the solutions of the equations 1.2x = 6 and 2x + a = ax are the same, then a = () 2. If 3x = 2-4y, then y = () (express y with the formula containing x), ()


1. If the solutions of equation 1.2x = 6 and 2x + a = ax are the same, then a = (3)
x=3;
6+a=3a;
2a=6;
a=3;
2. If 3x = 2-4y, then y = (2-3x) / 4; (use the formula containing x to express y), ()
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Three math problems in grade one of junior high school
1. A class of a mathematics quiz a total of 20 multiple-choice questions, the total score is 100
Xiao Ming said he got 86 points, Xiao Jun said he got 72 points, who is right? Why?
2. According to the state regulations, the calculation method of tax payment for individual publishing articles and books is as follows:
① No tax will be paid if the contribution fee is no more than 800 yuan;
② If the contribution fee is higher than 800 yuan but not higher than 4000 yuan, 14% of the contribution fee exceeding 800 yuan shall be paid;
③ If the contribution fee is higher than 4000 yuan, 11% of the total contribution fee shall be paid
Professor Yu received a batch of contributions and paid 420 yuan of personal income tax. How much is the contribution?
3. Uncle Wang contracted 25 mu of farmland. This spring, he planted two kinds of greenhouse vegetables, eggplant and tomato, which cost 44000 yuan. Among them, 1700 yuan was used for eggplant per mu, and the net profit was 2400 yuan. 1800 yuan was used for tomato, and the net profit was 2600 yuan. How much net profit did Uncle Wang get?


(1) The title of this question lacks conditions, both of them are wrong. One question has 5 points, 5 is singular, 6 and 2 are even
(2) Solution: the contribution fee is x yuan
(4000-800) × 0.14 = 448 yuan
420 yuan



The sum of the three numbers of a, B and C is 300. It is known that a is 50 larger than B and B is 20 larger than C. what is the number of a?


[300-(50+20)-20]/3+70=140
You can ask if you don't understand



The equation x / 0.3-x / 0.6 = 1 is transformed into an equation whose denominator is an integer


X / 3-x / 6 = 10 times larger ~ nerd~



How many times is the number of a equal to that of B?


2 a = (1 / 3) B
A: B = (1 / 3) / (0.2)
=(1/3)/(1/5)
=5/3
A = (5 / 3) B



If a > 0, b > 0, and 2A + B = 3, what is the maximum or minimum value of AB


AB has a maximum
3 = 2a + b ≥ 2√(2ab)
So 0 < ab ≤ 9 / 8
If and only if a = 3 / 4, B = 3 / 2, the equal sign holds
So the maximum value of AB is 9 / 8



If 3 / 4 of a equals 2 / 3 of B, what is 3 / 4 of B


Let a be x and B be y,
Then 3x / 4 = 2Y / 3
Multiply both sides by (9 / 8) to get:
27x/32=3y/4
So 3 / 4 of B is 27 / 32 of A



Let AB be a real symmetric matrix of order n, where a is positive definite. It is proved that there exists a real number t such that TA + B is a positive definite matrix


It's easy to prove,
AB is a real symmetric matrix of order n, which can be diagonalized
Let the eigenvalues of a be λ 1, λ 2, λ 3. λ n, where λ I are all greater than 0 (a is an orthogonal matrix, and the eigenvalues are all greater than 0)
Let the eigenvalues of B be λ 1 ', λ 2', λ 3 '. λ n'
The eigenvalue of TA + B is φ (λ I) = t λ I + λ I‘
Because λ I > 0, we only need to make t large enough to make the corresponding φ (λ I) = t, λ I + λ I 'greater than 0
We can deduce that TA + B is a positive definite matrix
Happy study