If the value of the square of the algebraic expression x + 4x-2 is 3, what is the value of the square of the algebraic expression 2x + 8x-5?

If the value of the square of the algebraic expression x + 4x-2 is 3, what is the value of the square of the algebraic expression 2x + 8x-5?

x^2+4x-2=3 =>x^2+4x=5
2x^2+8x-5=2(x^2+4x)-5=10-5=5

If the value of the square of the algebraic expression x + 2x + 4 is 6, then the value of the square of 4x + 8x-4 is?

x^2+2x+4=6
x^2+2x=2
4x^2+8x-4=4(x^2+2x)-4=4*2-4=4

Given that the value of the square-4x-2 of the algebraic expression x is 3, then what is the value of the square-8x-5 of the algebraic expression 2x?

Square of x-4x-2 = 3
Let's get x squared - 4x = 5
The square of 2x-8x-5 = 2 * 5-5 = 5

If the value of the square of the algebraic expression 2x + 3x + 7 is 8, then the value of the square of the algebraic expression 4x + 6x-9 is

The square of 2x + 3x = 1
4X squared + 6x = 2
2-9=-7
Answer: - 7

Observe the following list of algebraic expressions: X, - 2x squared, 4x cubic, - 8x quartic,..., according to the law you found, what is the seventh algebraic expression; What is the nth algebraic expression?

The sign is positive and negative
The first is+
So it's (- 1) ^ (n-1)
The absolute values of the coefficients are 1,2,4,8
Is 2 ^ (n-1)
So the seventh is 64x ^ 7
The nth is (- 1) ^ (n-1) * 2 ^ (n-1) * x ^ n
That is (- 2) ^ (n-1) * x ^ n

If the algebraic formula 1 / 4x + 2Y and 5-2x are opposite to each other, then the solution of equation 3x + (3a + 1) = X-6 (3a + 2) for a is

1 / 4x + 2Y and 5-2x are opposite numbers to each other
1/4x+2y+(5-2x)=0
x+8y+4(5-2x)=0
x+8y+20-8x=0
8y-7x+20=0
The problem is wrong, we can't find the value of X

If 1 / 4x + 2Y and 5-2x are opposite numbers to each other, then the solution of equation 3x + (3a + 1) = X-6 (3a + 2) of a is?

Is there a problem with this topic?
1 / 4x + 2Y and 5-2x are opposite to each other. We can only get the relationship between X and y, but not the value of X and y
But for the second equation is the relationship between a and X, the conclusion of the first formula is useless
For the equation of a
3x+(3a+1)=x-6(3a+2)
3A + 1 + 6 (3a + 2) = x-3x
21a+13=-2x
21a=-2x-3
a= -(2x+13)/21

It is known that the half of the equation x + a = x connected to X is the solution of the equation 3x-a + 1 = 2 (2x-a) about X, which is five times less than eight

It is known that the solution of the equation x / 2 + a = x on X is the equation 3x-a + 1 = 2 (2x-a) on X. the solution is five times less than 8. Find the value of the algebraic formula 3A ^ 2-2a + 5
Equation 1
x=2a
Equation 2
x=a+1
There is 2A = 5 (a + 1)
a=5/3
3a^2-2a+5
=3*25/9-2*5/3+5
=25/3-10/3+5
=10

The algebraic formula 4 / x + 8 and 5-2x are opposite numbers to each other, so we can find the equation 3x + (3a + 1) = - 2 (3a + 2) about a

Let's find x first, because 4 / (x + 8) is the opposite of 5-2x, so (x + 8) / 4 = 5-2x, x = 4 / 3
Then we put x = 4 / 3 into the equation about a, and the formula is 4 + 3A + 1 = - 6a-4. We can get a = - 1 by solving the equation

Given that a is a root of the equation 2x ^ 2 + 3x-1 = 0, find the value of the algebraic expression (2a ^ 5 + 3A ^ 4 + 9A ^ 2-5A + 1) / (3a-1) I'm lazy! And First floor, please read the title carefully!

A is a root of the equation 2x ^ 2 + 3x-1 = 0
So, 2A ^ 2 + 3a-1 = 0
3a-1=-2a^2；2a^2+3a=1
Molecular,
2a^5+3a^4=a^3(2a^2+3a)=a^3
a^3+9a^2-5a+1=(1/2)a(2a^2+3a-1)+(15/2)a^2-(9/2)a+1=(15/2)a^2-(9/2)a+1
3a-1 = - 2A ^ 2, so a = (1-2a ^ 2) / 3, (9 / 2) a = 3 / 2-3a ^ 2
Molecular = (21 / 2) a ^ 2 - (1 / 2)
I don't know if there is any error in the data of your topic. In addition to a ^ 2 in the numerator, there is a constant term, which cannot be eliminated from the A ^ 2 term on the denominator
The final result = [(21 / 2) a ^ 2 - (1 / 2)] / (- 2A ^ 2) = - 21 / 4 + 1 / [2 (3a-1)]
Or do you want to solve the original equation and then substitute it into the calculation
Solve the original equation, a = (- 3 ±√ 17) / 4
And then into the above formula to calculate