Given that x satisfies the equation x 2-3x + 1 = 0, then what is the value of X + 1 / X 2x? 2x-1 = 0, the solution of this equation is obtained

Given that x satisfies the equation x 2-3x + 1 = 0, then what is the value of X + 1 / X 2x? 2x-1 = 0, the solution of this equation is obtained

x²—3x+1=0
Divide both sides by X at the same time
x-3+1/x=0
x+1/x=3
2x²-2x=1
x²-x+1/4=1/2+1/4
(x-1/2)²=3/4
x=1/2+√3/2 x=1/2-√3/2

If x = - 2 is the solution of the equation 3x + 4 = 2 parts x-a, then the value of 1 part of a 2 - a 2 is__________ Please explain in detail

Substituting x = - 2 into 3x + 4 = 2 / 2 x-a
-2=(-2-a)/2
-4=-2-a
A=2
1 / 2 = 4-1 / 4 = 15 / 4

Given that the solution of the equation 3a-x = 2 / 2 x + 3 on X is 2, find the value of (- a) 2 - 2A + 1

Take x = 2 into the equation
3a-2=(2+3)/2
3a=2+5/2
3a=9/2
a=3/2
Put a = 3 / 2 into the following formula
(-3/2)²-2×3/2+1
=9/4-3+1
=1/4

If equation 1 − 2x 6+x+1 3=1−2x+1 4 and the equation x + 6x − a about X 3=a If the solution of 6 − 3x is the same, find the value of A

By solving the first equation, 2 (1-2x) + 4 (x + 1) = 12-3 (2x + 1), x = 1
2.
Let x = 1
2 into the second equation, we get the equation with a as the unknown number: 1
2+6×1
2−a
3=a
6−3×1
2,
Namely: 1
2+3−a
3=a
6−3
2,
3 + 2 (3-A) = A-3 × 3,
A = 6

If the solution of equation (1-2x) / 6 + (x + 1) / 3 = 1 - (2x + 1) / 4 is the same as the solution of equation x + (6x-a) / 3 = A / 6-3x for X, find the value of A

(1-2x)/6+(x+1)/3=1-(2x+1)/4
Multiply both sides by 12
2(1-2x)+4(x+1)=12-3(2x+1)
2-4x+4x+4=12-6x-3
6=9-6x
6x=3
x=1/2
Substituting x = 1 / 2 into the equation x + (6x-a) / 3 = A / 6-3x
1/2+(3-a)/3=a/6-3/2
Multiply both sides by 6
3+2(3-a)=a-9
3+6-2a=a-9
18-3a=0
A=6

If the solution of equation 1-2x / 2 + X + 1 / 3 = 1-2x + 1 / 4 is the same as the solution of equation x + 6x-a / 3 = A / 6-3x about X, find the value of A

The title is not clear enough. Is it 1-2x / 2 + X + 1 / 3 or 1-2x / 2 + X + 1 / 3, it's better to separate them and the following is the same

If the equation (1-2x) / 6 + (x + 1) / 3 = 1 - ((2x + 1) / 4) has the same solution as the equation x + (6x-a) / 3 = A / 6-3x about X, it is urgent to find the value of A

(1-2x)/6+(x+1)/3=1-(2x+1)/4
2(1-2x)+4(x+1)=12-3(2x+1)
2-4x+4x+4=12-6x-3
6=9-6x
6x=9-6
6x=3
x=1/2
The solution is the same
x+(6x-a)/3=a/6-3x
x+2x-a/3=a/6-3x
3x-a/3=a/6-3x
3x+3x=a/6+a/3
6x=a/2
a=12x
a=12*1/2=6

If the equation 1-2x of 6 + X of 3 + 1 = 3-2x of 4 is the same as the solution of equation x + 6x-a = 6x-18x about X, find the value of A

1-2x of 6 + X of 3 + 1 = 3-2x of 4 (both sides are multiplied by 12) x + 6x-a = 6x-18x
2 (1-2x) + 4 (x + 1) = 3 (3-2x) 2 / 1 + 6 times half - A / 3 = A-18 times half / 6
x=2/1 a=2

It is known that 2x + 7m = negative 3 and equation 2 minus (3m-x) / 3 = o have the same solution. Find the value of M

By solving the equation 2x + 7m = - 3
x=(-7m-3)/2
By solving the equation 2 - (3m-x) / 3 = 0
6-3m+x=0
x=3m-6
According to the meaning of the title
3m-6=(-7m-3)/2
The solution
m=9/13

On the equation of X, the 3m-1 power of X + 7m-5 is equal to 0. If it is a one variable linear equation, what is the value of M? What is the solution of the equation

The degree above x is 1
So 3M - 1 = 1
m = 2/3
The original equation is x + 14 / 3 - 5 = 0
x = 1/3