Given that the cubic root sign 1-2x and the cubic root sign 3y-2 are opposite numbers to each other, calculate the value of (1 + 2x) / y

Given that the cubic root sign 1-2x and the cubic root sign 3y-2 are opposite numbers to each other, calculate the value of (1 + 2x) / y

（1+2x）/y = 3
Let a = cubic root 1-2x B = cubic root 3y-2
Because a = - B, both sides are cubic at the same time
1-2x = - 3Y + 2: 3Y = 1 + 2x, i.e. 3 = (1 + 2x) / y

If x and y are real numbers, and x-3 | and the root sign Y + 5 are opposite to each other, find the value of the cube root 2x + y

∵| 2x-3 | and the radical y + 5 should be nonnegative, and they are opposite to each other,
|2x-3 | + radical y + 5 = 0,
∴2x-3=0,y+5=0.
That is, 2x = 3, y = - 5
So 2x + y = 3-5 = - 2,
ν 2x + y = - cubic root 2

What is the minimum value of the root sign (x square + 4) + root sign [(12-x) square + 9]~

Are you a junior high school student? Have you ever learned the formula of two-point distance? √ [(x1-x2) 2 + (y1-y2) A2] so the original formula = √ [(x-0) 2 + (0 + 2) 2] + √ [(X-12) 2 + (0-3)]]. According to the above formula, it is the sum of the distances from a point P (x, 0) to two points a (0, - 2), B (12,3) on the x-axis

In class, Mr. Li gave you such a problem: when x = 3,5-times the root sign 2,7 + 2 times the root sign 3, find the algebraic expression If x = 2012, y = 2013, then (x + y) multiplies the fourth power of X? 2 + y? X-Y, and the multiplication is the multiplication between fractions

Algebraic formula x? - 2x + 1 / x? - 1 △ 2x-2 / x + 1
　　=（x-1)²(x+1)÷2(x-1)(x+1)(x-1)
　　=（x-1)²(x+1)÷2(x+1)(x-1)²
　　=1/2
When x = 3,5-times the root sign 2,7 + 2 times the root sign 3, find the algebraic formula x? - 2x + 1 / x? - 1 ÷ 2x-2 / x + 1 = 1 / 2
2. If x = 2012, y = 2013,
The power of (y) + x 2 to the power of 4
　　=(x+y)(x²+y²)/(x²+y²)(x-y)(x+y)
　　=1/(x-y)
　　=-1

In class, Mr. Li gave you such a problem: when x = 3,0.137,9 / 22, find the square of the algebraic formula X - 2x + 1 / X squared - 1 divided by 2x-2 / x + 1 Xiao Ming looked at it. "It's too complicated. How to calculate it?" can you help Xiao Ming solve this problem? Please write down the specific process

X squared - 2x + 1 / X squared - 1 divided by 2x-2 / x + 1
Equal to 1 / 2

In class, Mr. Li gave you such a problem: when x = - 2010 / 2011 or 7 + radical 3, find the square of X - 2x + 1 / X squared - 1 divided by 2x-2 / X It's too complicated. How to calculate it? Can you help Xiao Ming solve this problem? Please write the specific process

(x-2x + 1) / (x-1) divided by (2x-2) / (x + 1)
=(x-1)^2/(x-1)(x+1)÷2(x-1)/(x+1)
=(x-1)/(x+1)÷2(x-1)/(x+1)
=1/2
It can be seen that no matter what value x is taken, the value of the algebraic formula is equal to 1 / 2

In class, Mr. Li gave you such a problem: when x = 3,5-2 times the root sign 2,7 + the root sign 3, find the square of the algebraic formula x-2x + 1 / X's Square-1 division With the value of 2x-2 / x + 1, Xiao Ming said, "it's too complicated. How to calculate it?" can you help Xiao Ming solve this problem? Please write down the specific process

(3√50-5√3)^2 3√40-√2/5+2√1/10 1/3√32+√8/2-1/5√50 √18-（√98-2√75+√27

Given that x = ((radical 2) + 1) △ 2, find the value of the fourth power of the algebraic expression 4x + the third power of 4x - the square of 9x - 2x + 1

2 = 24 x ^ 2-4x + 1 = 24x ^ 2-4x + 1 = 24x ^ 2-4x + 1 = 24x ^ 2-4x + 1 = 24x ^ 2-4x = 4x ^ 4 + 4x ^ 3-9x ^ 2-2x + 1 = 4x ^ 4-4x ^ 3 + 8x ^ 3-9x ^ 2-2x + 1 = x ^ 2 (4x ^ 2-4x) + 8x ^ 3-9x ^ 2-2x + 1 = x ^ 2 * 1 + 8x ^ 3-9x ^ 2-2x + 1 = x ^ 2 * 1 + 8x ^ 3-9x ^ 2-2x + 1 = 2x + 1 = 8x ^ 3-9x ^ 2-2x + 1 = 8x ^ 3-2x + 1 = 8x ^ 3-8- 2x + 1 = 2x (4x ^ 2-4x) - 2x + 1 = 2x * 1-2x + 1 = 1

Given that x is equal to 1 + radical 5, find the value of the algebraic expression x cubic-2x-4x-5

x-1=√5
square
x²-2x+1=5
x²-2x=4
The original formula = x (x? - 2x) - 4x-5
=4x-4x-5
=-5

Given the square of X + X-1 = 0, we do not need the root sign to find the cubic - 2x-7 of the algebraic expression X

Let X be squared + X-1 = 0
So the square of X is 1-x
So the cubic power of X - 2x-7 = x (1-x) - 2x-7 = - X's Square - X-7 = - (square of X + x) - 7 = - 1-7 = - 8
If you don't understand, I wish you a happy study!