How to simplify the following formula 1 / x + 1 / X (x + 1) + 1 / (x + 1) (x + 2) +... + 1 / (x + 2004) (x + 2005) how to solve the following fractional equation 1 / X (x + 2) + 1/（

How to simplify the following formula 1 / x + 1 / X (x + 1) + 1 / (x + 1) (x + 2) +... + 1 / (x + 2004) (x + 2005) how to solve the following fractional equation 1 / X (x + 2) + 1/（

1/x+1/x(x+1)+1/(x+1)(x+2)+...+1/(x+2004)(x+2005)
=1/x + 1/x -1/(x+1)+1/(x+1)-1/(x+2)+...+1/(x+2004)-1/(x+2005)
=1/x+1/x-1/(x+2005)
= [2(x+2005)-x]/[ x(x+2005)]
=(x+4010)/[ x(x+2005)]
In the same way
1/x(x+2) =1/2 [1/X-1/(X+2)]

The solution of the equation x / 1 × 2 + X / 2 × 3 +... + X / 2004 × 2005 = 2004 is ()

x/1×2+x/2×3+...+x/2004×2005=2004
x(1-1/2+1/2-1/3+...+1/2004-1/2005)=2004
x(1-1/2005)=2004
x=2005

Factorization of (x ^ 2-3x) ^ 2 + 4x ^ 2-12x-21

Original formula = (x ^ 2-3x) ^ 2 + 2 * 2 * (x ^ 2-3x) + 4-25
= (x^2-3x+2)^2-5^2
= (x^2-3x+2-5)*(x^2-3x+2+5)
= (x^2-3x-3)*(x^2-3x+7)

1 is equal to 8? 3 is equal to 5? 8 is equal to 8? 60 is equal to 3? 12 is equal to 9? 27?

One is eight out of eight
Three is fifteen fifths
Eight is 64 out of eight
45 out of 60 equals 3 out of 4, 9 out of 12 equals 27 out of 36?

Calculation of 4x-3 × 9 = 29 equations

If 18 ⁃ 6 = 18 ⁃ 6 + 2, then 27 ⁃ 9 = ()
Please give the reason
Thank you for your answer
If 27 ⁃ 9 = 27 ⁃ 9 + 2 = 5, it is the same as 18 ⁃ 6 = 18 ⁃ 6 + 2 = 5. Then 18 ⁃ 6 = 27 ⁃ 9 = 5, it seems wrong

27※9=27÷9+2=5
Coincidentally, 2 is constant

How to determine the value of ABC in quadratic function image

Quadratic function is also called parabola
1. The value of a is the opening direction and size of the absolute parabola
(when A0, the opening is upward)
(the larger the absolute value of a, the smaller the opening)
(the smaller the absolute value of a, the larger the opening)
2. The values of a and B determine together whether the symmetry axis of the parabola is on the left or right side of the y-axis
(when a and B are of the same sign, the axis of symmetry is on the left side of the y-axis)
(when a and B are different, the axis of symmetry is on the right side of the y-axis)
(when B = 0, the axis of symmetry is Y-axis)
[this rule can be called "left same, right different", which is very important for judging the sign of parabola a, B, C in the future]
3. The value of C determines the position of the intersection of the parabola and the y-axis
(when C0, the Y-axis of the parabola intersects the positive half axis)

8+88+888+8888+88888+888888+8888888+88888888+888888888+8888888888

9876543200

The known set a = {x | x ^ 2-4x + 3 ≤ 0}, B = {x | x ^ 2 + 2ax-a ^ 2}

x²-4x+3≤0 （x-3)(x-1)≤0
The solution is 1 ≤ x ≤ 3
So a = {Xi 1 ≤ x ≤ 3}
B is known to belong to a
x²+2ax-a²

A × 101100 = B × 1 = C × 78 compare the numbers of a, B and C______ The largest______ The smallest

Let a × 101100 = B × 1 = C × 78 = 1, then a × 101100 = 1, a = 100101, B × 1 = 1, B = 1, C × 78 = 1, C = 87, and because 87 ＞ 1 ＞ 100101, that is, C ＞ B ＞ a, the maximum number is C, and the minimum number is a