Given that AB is greater than 0 and B * a ^ 2 = 2, what is the minimum value of AB + A ^ 2

Given that AB is greater than 0 and B * a ^ 2 = 2, what is the minimum value of AB + A ^ 2

B × A & sup2; = 2. = = = > AB = 2 / A. = = > AB + A & sup2; = (2 / a) + A & sup2; = (1 / a) + (1 / a) + A & sup2; ≥ 3. = = = > AB + a & sup2; ≥ 3, the equal sign is obtained only when a = 1, B = 2. So (AB + A & sup2;) min = 3

Why is the derivative of y = (3-3 / 4x ^ 2) ^ (1 / 2) - 3x / [4 * (3-3 / 4x ^ 2) ^ (1 / 2)] not - 1 / [2 * (3-3 / 4x ^ 2) ^ (1 / 2)]

y'=[(3-3/4x^2)^(1/2)]'
=1 / 2 * (3-3 / 4x ^ 2) ^ (1 / 2-1) * (3-3 / 4x ^ 2) 'using the derivation rule of composite function, 3-3 / 4x ^ 2 is the intermediate variable
=1/2*(3-3/4x^2)^(-1/2)*(-3/4 *2x)'
=-3x/4*(3-3/4x^2)^(-1/2)

7 / 18 + 2 / 5 + 1 / 5 = (simple calculation)

=7/18+(2/5+1/5)
=7/18+3/5
=35/90+54/90
=89/90

If there are two numbers a and B, the difference between a and B is 6, and the quotient of a divided by B is 6______ The number B is______ ．

Let B be x, then a is 6x. According to the meaning of the question, we can get the equation: 6x-x = 6, & nbsp; & nbsp; 5x = 6, & nbsp; & nbsp; X = 1.2, 1.2 × 6 = 7.2, answer: A is 7.2, B is 1.2. So the answer is: 7.2; 1.2

4(2x-7)-2(x-1)=3x-5

4*2x-4*7-2x+2*1=3x-5
8x-28-2x+2=3x-5
8x-2x-3x=28-2-5
3x=21
x=21÷3
x=7

Simple calculation method:)
(1 + Half + one third + one fourth) × (half + one third + one fourth + one sixth) - (1 + Half + one third + one fourth + one fifth) × (half + one third + one fourth) =?

Let 1 / 2 + 1 / 3 + 1 / 4 = a
Then the original formula can be changed into (1 + a) (a + 1 / 6) - (a + 6 / 5) a
Just calculate

If n is a positive integer, the value of (n + 11) &# 178; - N & # 178; can always be divided by K, and the value of K can be obtained

The factors of (n + 11) ² - N & #178; = [(n + 11) + n] [(n + 11) - n] = (2n + 11) × 11 ∵ 11 are: 1, 11 ∵ k = 1 or K = 11. I'm glad to answer for you, and I wish you progress in your study! [the 1900] team will answer for you. If you don't understand, you can ask! If you agree with my answer, please click [select as satisfied

3x + 10 = 8x-105

5x=10+105
x=23

How to calculate 3.75 × 0.25 × 1.6 with a simple method
What about 3.65 × 4.7-36.5 × 0.37
How to calculate 6.4 × 38 + 3.2 × 24 with a simple method

3.75×0.25×1.6
=(3.75×8）×（0.25×2）
=30×0.5
=15
3.65×4.7-36.5×0.37
=3.65×4.7-3.65×3.7
=3.65×（4.7-3.7）
=3.65×1
=3.65
6.4×38+3.2×24
=3.2×76+3.2×24
=3.2×（76+24）
=3.2×100
=320

If (m-2) ^ - 1 / 5

First of all, m-2 is not equal to 0, x ^ - 1 / 5 is monotonically decreasing, so m-2 > 1-2m, so m > 1 and M is not equal to 2