If the fraction (4x-13) / (2x ^ 2 + X-6) is obtained by adding two fractions M / (x + 2) and N / (2x-3), then M=______ ,n=_____

If the fraction (4x-13) / (2x ^ 2 + X-6) is obtained by adding two fractions M / (x + 2) and N / (2x-3), then M=______ ,n=_____

m/(x+2)+n/(2x-3)
=[m*(2x-3)+n*(x+2)]/2x^2+x-6
=[(2m+n)*x-(3m-2n)]/2x^2+x-6
=(4x-13)/(2x^2+x-6)
So 4x-13 = (2m + n) * x - (3m-2n)
2m + n = 4,3m-2n = 13
The solution is: M = 3, n = - 2

Given that x + X molecule 1 = 2, find the fraction 4x square - 7x + 4 molecule xsquare + 2x + 1,

∵x+1/x=2
Multiply both sides by X at the same time: x? 2 + 1 = 2x,
That is, x? - 2x + 1 = 0
That is (x-1) 2 = 0
∴x=1
Put x = 1 into the formula
The original formula = 4

The fraction x + m / n-2x. When x = 2, the fraction is unintentional; when x = - 3, the value of fraction is 0. Find the value of M + n The fraction x + m / n-2x. When x = 2, the fraction is unintentional; when x = - 3, the value of fraction is 0. Find the value of M + n

When x = 2, the fraction is unintentional;
n-2*2=0
N=4
When x = - 3, the value of fraction is 0,
-3+m=0
M=3
The value of M + n
=3+4
=7

Given the fraction x-n / 2x + m, when x = 2, the value of fraction is 0; when x = 2, time sharing is meaningless. Find the value of M + 2n under the third root sign

When x = 2, the value of fraction is 0, then 2-N = 0, n = 2; when x = - 2, the fraction is meaningless, then 2 * (- 2) + M = 0, M = 4 √ (M + 2n) = √ 8 = 2

When x = - 4, the fraction X-B / 2x + A is meaningless. When x = 2, the value of fraction is zero. Find the value of fraction a + B / a-3b

When ∵ x = - 4, X-B / 2x + A is meaningless
At this time, 2x + a = 0, a = 8
Because when x = 2, the fraction = 0,  X-B = 0, B = 2
∴a+b/a-3b=(8+2)/(8-6)=5

For the fraction x + 2 / 2x-2, the fraction is meaningless when x = and - 2 when x =

For fraction x + 2 / 2x-2, when x = 1, the fraction is meaningless;
When x = 2 / 5, the value of the fraction is - 2
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Given the fraction 2x + 12th 3x + 7, when what is the value of X? The fraction is meaningful, the fraction is meaningless, and the fraction value is zero Given the fraction 2x + 3x + 7 in 12, what is the value of X? (1) the fraction is meaningful, (2) the fraction is meaningless, (3) the fraction value is zero

（1）2x+12≠0,x≠-6
（2）2x+12=0,x=6
（3）3x+7=0,x=-7/3

The fraction n-2x x + m is meaningless when x = 2, and 0 when x = - 3, M + n =?

If x = 2 is meaningless, the denominator is 0
n-2*2=0
N=4
A value of 0 makes the molecule 0
So - 3 + M = 0
M=3
So m + n = 7

1, when X___ The fraction (1-1 / 2x) ^ - 2 is meaningful 1. When x___ The fraction (1-1 / 2x) ^ - 2 is meaningful 2. When a=___ The value of fraction (x ^ 2-1 / x ^ - X-2) ^ 2 is zero 3. (required process) 1 - (A-1 / 1-A) ^ 2 divided by a ^ 2-A + 1 / A ^ 2-2a + 1

A: the expression of the fraction is too confusing. Please follow the following rules: 1 / X means 1 / x, the numerator is in front, the denominator is at the end / indicates that the division sign is also a fractional line. If the understanding of the following fraction is different from your topic, please write the fraction in standard format after asking, and add more enclosing signs: 1__ ≠ 1 / 2 and ≠ 0_ When, fraction

(1) When x = (), the fraction 2x + 5 / x + 1 is meaningful. (2) when x = (), the value of fraction 2x + 3 / x-4 is zero (1) When x = (), the fraction 2x + 5 / x + 1 is meaningful. (2) when x = (), the value of fraction 2x + 3 / x-4 is zero. (3) if the value of fraction 2-3x is negative, then the value range of X is ()

1) When x = (x is not equal to - 5 / 2), the fraction 2x + 5 x + 1 is meaningful
2) When x = (x = 4), the value of fraction 2x + 3 / x-4 is zero
3) If the value of fraction 2-3x is negative, then the value range of X is (x > 2 / 3)