4X ^ 3-6x > 0 equals 4x (x + √ 6 / 2) ((x - √ 6 / 2) > 0 "formula a" The solution of "formula a" is (- √ 6 / 2,0) (√ 6 / 2, positive infinity) I want to know if we can do this: 4x ^ 3-6x > 0 equals 4x ^ 3 > 6x equals 4x ^ 2 > 6 "formula B" If yes, the value calculated in this way is not equal to formula A. please explain why If not, explain why you can't divide by X at the same time OoO

4X ^ 3-6x > 0 equals 4x (x + √ 6 / 2) ((x - √ 6 / 2) > 0 "formula a" The solution of "formula a" is (- √ 6 / 2,0) (√ 6 / 2, positive infinity) I want to know if we can do this: 4x ^ 3-6x > 0 equals 4x ^ 3 > 6x equals 4x ^ 2 > 6 "formula B" If yes, the value calculated in this way is not equal to formula A. please explain why If not, explain why you can't divide by X at the same time OoO

Because the sign of X is not clear, we have to discuss that when x > 0, x = 0 and x0, formula A is completely equivalent to 4x ^ 2 > 6
The solution is (√ 6 / 2, positive infinity)
(2) When x = 0, it is obvious that 0 > 0 is not true
(3) When x6x is divided by X, the sign of the inequality changes
That is 4x ^ 2
Because the definition field of X is not provided in the question stem, we don't know the positive and negative of X. according to the answer you provided, and according to the mathematical formula "more than two sides, less than the middle", we can judge that x is definitely positive
How to calculate 4x + 17 = 6x-3
4x+17=6x-3
Move items to merge similar items
6x-4x=17+3
2x=20
x=10
4x+17=6x-3
17+3=6x-4x
20=2x
x=10
X=10
4x+17=6x-3
6x-4x=17+3
2x=20
X = 10 move items and merge similar items
Cross phase multiplication factorization factor X ^ 2 (x-1) ^ 2-4
Multiply by a cross
x^2(x-1)^2-4 [x(x-1)]^2-4 =(x^2-x+2)(x^2-x-2) =(x^2-x+2)(x-2)(x+1)
The problem of solving the general term formula of high school sequence,
1,9,73,329,841,……
In addition, please talk about what kind of thinking you should have and how to think about it
Get rid of it. Please take a look and write the general formula
How to deduce the final formula from the relationship between two differences?
Sorry! Wrong, it should be
1,9,73,585,4681,……
First of all, the problem does not give any recursion. At this time, we need to observe the factor structure of the data. If we find that there is no obvious feature, we have to do the difference. First, we do the first order difference sequence: 8,642565124096, and find that there is a rule: a2-a1 = 8 ^ 1a3-a2 = 8 ^ 2a4-a3 = 8 ^ 3a5-a4 = 8 ^ 4An + 1-an = 8 ^ n, and get the non-homogeneous about {an}
The following Polynomials: ① x ^ 2 + 3x + 4 ② x (x + 1) - 12 ③ 3 (x + y) ^ 2-5 (x + y) - 8 ④ x ^ 4-x ^ 2 + 2
Seeking process
(1) No
(2)x^2+x-12=(x-3)(x+4)
(3) Consider (x + y) as an unknown (x + y + 1) (3x + 3y-8)
(4) No
There are two
2 and 3 can ask: can you tell us why (2) and (3) can
How to deduce recurrence formula?
What recurrence formula? High school mathematics series?
The solution of square-4x-21 of cross multiplication M
Hello!
Square of m-4m-21
=(m-7)(m+3)
If you don't understand this question, you can ask. If you are satisfied, please click "adopt as satisfactory answer"
If you have any other questions, please take this question and send it to me. Please understand
I wish you progress in your study!
1 -7
X
1 +3
Original formula = (X-7) (x + 3)
（X-7)*(X+3)
No cross multiplication. M or x? Ask: m
What is recurrence formula?
According to the definition in the book, for example, an = 2an-1 is called recurrence formula. But obviously, we can't get the sequence. The combination of recurrence relation and initial condition is called recurrence formula, isn't it?
no
Recurrence formula is the relationship between the term of exponential series and N, or the relationship between the terms of sequence
The initial condition is the value of a given term
Combine the two to determine a sequence
The first floor is not right.
Recurrence formula is the relationship between the last term and the first term of a sequence.
The relation between the term of a sequence and N is the formula of the sequence
How to multiply the square of X + X - (the square of a) - A by a cross?
x^2+x-(a^2-a)
1 - (a-1)
1 A
a -a+1
(x-a+1)(x+a)
How to get general term formula from recurrence formula
1.an=3a(n-1)-2
2.an-1=3a(n-1)-3=3[a(n-1)-1]
3. The sequence {an-1} is an equal ratio sequence with a common ratio of 3, and the first term is 3-1 = 2
4.an-1=2*3^(n-1)
5.an=2*3^(n-1)+1
I don't understand from the third step. I haven't started learning yet
If you move the term on the right to the left, it will be much clearer. This is a classic recursive type. First look at an-1, then look at an