When x is the value, the square of fraction x minus 2x + 1 / 3-x is a positive number

When x is the value, the square of fraction x minus 2x + 1 / 3-x is a positive number

This is the formula: (3-x) / (x ^ 2-2x + 1) > 0
It can be reduced to: (3-x) / (x-1) ^ 2 > 0
In denominator, no matter what value x is, (x-1) ^ 2 is a complete square formula, which must be greater than or equal to 0; the denominator cannot be 0, that is, X ≠ 1
If the denominator is a positive number, the numerator must also be a positive number so that the value of the fraction can be a positive number. If 3-x > 0, X is obtained

When x, the square of fraction 1-2x is positive

X ^ 2 / (1-2x) > 0 only needs x ≠ 0 and 1-2x > 0
X

Solve the fractional equation! X-1 part X + 1-x power 2 - 1 / 4 = 1 the second path 3x-5 3x + 4 + 1 = 2x-3 minutes only 4x + 1 The second to that + 1 is self, not part of 3x + 4

1.(x+1)/(x-1)-4/(x²-1)=1
Multiply them by (x + 1) (x-1) to get (x + 1) - 4 = x? - 1 x = 1
The substitution test is to increase the following, the original equation has no solution
2.(3x+4)/(3x-5)+1=(4x+1)/(2x-3)
Multiply by (3x-5) (2x-3) to get (3x + 4) (2x-3) + (3x-5) (2x-3) = (4x + 1) (3x-5) x = - 8 / 3
Surrogate test is the root of the original equation

When x = 0, the fraction X-6 / x + A is meaningless; when x = 2, the value of fraction 2x-b / 3x + A is 0, then a + B =? When x = 0, the fraction X-6 / x + A is meaningless; when x = 2, the value of fraction 2x-b / 3x + A is 0, then a + B =?

When x = 0, the fraction X-6 / x + A is meaningless, indicating that the denominator is 0, so a = 0
When x = 2, the value of fraction 2x-b / 3x is 0, indicating that the molecule is 0, that is, 4-b = 0. Therefore, B = 4
So a + B = 4

When x is taken, the value of fraction 3x-5 / 2x + 7 is negative? 2X + 3x-5 of 7

The value of (3x-5) / (2x + 7) is negative
(3X-5)/(2X+7)<0
-7/2<x<5/3

When x = 1, the fraction x + 2m When x = 4, the value of fraction is zero, then M + n=______ .

∵ x = 1 is meaningless,
∴1-n=0,
∴n=1;
∵ when x = 4, the fractional formula is 0, that is, 4 + 2m = 0
∴m=-2
∴m+n=-1.
So the answer is: - 1

When x = 1, the fraction x-2n divided by X + 2m is meaningless; when x = 4, the value of fraction is zero, then M + n=

When the denominator is 0, the fraction is meaningless,
So, when x = 1, 1-2n = 0 (1)
When the numerator is 0 and the denominator is not 0, the fractional value is 0
Therefore, when x = 4, 4 + 2m = 0 (2)
From (1) and (2), we get the result
m+n=-3/2

In the fraction x + 2m fraction x-n, when x = 2, the fraction value is 0; when x = - 2, the fraction is meaningless Find the negative cubic power of the formula (2m 2 × n to the negative third power) 2 × (- M × n to the negative first power)

When x = 2, the value of fraction is 0 x-n = 0, n = x = 2
When x = - 2, the unintentional meaning of fraction x + 2m = 0 m = x / 2 = - 1
The negative cubic power of (2m 2 × n) 2 × (- M × n negative first power)
=[2*1*(1/8)]²×[1*(1/2)^-3=1/16*1/8=1/128

For fraction (denominator is 3x + B, numerator is 2x-a), when x = - 1, the fraction is meaningless; when x = 4, the value of fraction is 0, find the value of a, B

If x = - 1 is meaningless, then: 3 * (- 1) + B = 0, x = 4 fraction = 0, then: 2 * (4) - a = 0, so: B = 3, a = 8;

When x_ The algebraic expression 2x / (3x-4) is a fraction Explain the reason. But as long as X is a number, isn't it a fraction or an integer?

X is not equal to 4 and X is not equal to four-thirds
2X is not equal to 3x-4
3x-4 is not equal to 0