On the problem of double hook function The monotonicity of function f (x) = ax + B / x, (a > 0, b > 0) on x > 0 is proved Let X1 > x2 and x1, X2 ∈ (0, + ∝) Then f (x1) - f (x2) = (ax1 + B / x1) - (AX2 + B / x2) =a（x1-x2)-b（x1-x2）/x1x2 =（x1-x2）（ax1x2-b）/x1x2 Because X1 > X2, then x1-x2 > 0 When x ∈ (0, √ (B / a)), x 1 x 20, that is, when x ∈ (√ (B / a), + ∞), f (x) = ax + B / x increases monotonically In the process of solving the above problems, why can we get x1x2 > b / a?

On the problem of double hook function The monotonicity of function f (x) = ax + B / x, (a > 0, b > 0) on x > 0 is proved Let X1 > x2 and x1, X2 ∈ (0, + ∝) Then f (x1) - f (x2) = (ax1 + B / x1) - (AX2 + B / x2) =a（x1-x2)-b（x1-x2）/x1x2 =（x1-x2）（ax1x2-b）/x1x2 Because X1 > X2, then x1-x2 > 0 When x ∈ (0, √ (B / a)), x 1 x 20, that is, when x ∈ (√ (B / a), + ∞), f (x) = ax + B / x increases monotonically In the process of solving the above problems, why can we get x1x2 > b / a?

When x ∈ (0, √ (B / a)), x1x20, that is, when x ∈ (√ (B / a), + ∞), f (x) = ax + B / x increases monotonically. "What you are talking about is the case when x ∈ (√ (B / a), + ∞). At this time, x1, X2 ∈ (√ (B / a), + ∞), that is, X1 > √ (B / a), X2 √ (B / a), x1x2 > √ (B / a) * √ (B / a) = b / A and why does it appear

How to find the maximum value of double hook function

Using the image property of double hook function
See:

If the a power of 2 = the B power of 3 = 36, then 1 / A + 1 / b =?

2^a=3^b=36
a=log2(36)=lg36/lg2
b=log3(36)=lg36/lg3
1/a+1/b=lg2/lg36+ lg3/lg36 = (lg2+lg3) / lg36 =lg6 / lg6^2 = lg6 / (2lg6) =1/2

If the a power of 3 = 4 and the B power of 4 = 36, find the value of 1 / A + 1 / 2B

The original formula is that the a power of 3 = the 2B power of 2 = 36, the exponential formula is replaced by the logarithmic formula, and then the reciprocal is added to get 1 / 2

Let the square of the process (the square root of 2 + 2) = a + B times the square root of 2, a + B=

The square of (the square root of 2 + 2) = a + B times the square root of 2
4 + 2 + 4 radical 2 = (a + b) radical 2
Root 2 (3 root 2 + 4) = (a + b) root 2
A + B = 3 radical 2 + 4

2,5,3,4 make up 24 points make up two groups must have power 12,3,5,1 make up 24 points

2^5=32
32/4=8
3*8=24
12*(5-3)*1=24

What is cube? What is square root?

Cube is the multiplication of three same numbers, for example, the cube of 2 = 2 * 2 * 2 = 8, the cube of 3 = 3 * 3 * 3 = 27, and so on. Cube also represents the volume unit of an object, for example, the volume of a rectangle is 27 cubic meters
Prescription
[Pinyin]
kāi fāng
[interpretation]
（1） The operation of finding the square root of a number. It is the inverse operation of the power. See the entry "square root"
（2） In ancient China, it refers to finding the positive roots of quadratic and higher order equations (including binomial equations)
Related links:
Square root (f ā ng g ē n)
The root of n (n is a natural number) power of a refers to the number whose power of n is equal to a, that is, the number B suitable for BN = A. for example, the root of 4 power of 16 has 2 and - 2. The root of 2 power of a number is called square root; the root of 3 power is called cube root. All the roots are called square root. The operation of finding the root of a given number is called root, In the range of real numbers, there is only one odd root of any real number, for example, the third root of 8 is 2, and the third root of - 8 is - 2; the even root of a positive real number is two opposite numbers, for example, the fourth root of 16 is 2 and - 2; there is no even root of a negative real number; any root of zero is zero, No matter whether n is odd or even, any non-zero complex has n roots. If z = R (COS θ + I sin θ), r = Z, then its n roots are k = 0,1,2 ,n－1.

If the square root of a is a, then the cube of a is a

If the square root of a is a, then a can only be 1,
So the cube of a is also a

The problem of finding cube or square root
Urgent! 1

① If the arithmetic square root of a number is equal to the number itself, then the number is () a: 1 B: - 1 C: 0 d: 0 or 1. ② the area of a circular flowerbed is 153.86 square meters, and the diameter of the flowerbed (π = 3.14) ③ it is known that the arithmetic square root of 2a-1 is 3.18, and the arithmetic square root of B is 4

It is known that | a + B-1 | and (a-2b + 3) are opposite numbers to each other. Find the square root of the opposite number of ab

Because | a + B-1 | + (a-2b + 3) = 0
So | a + B-1 | = 0 (a-2b + 3) = 0
Because a + B-1 = 0
a-2b+3＝0
So B = 4 / 3
a=-1/3
ab=-4/9
The square root of the opposite number of AB = plus or minus 2 / 3