What is the value of X that makes sense: the square of X + 9 / 1

What is the value of X that makes sense: the square of X + 9 / 1

9/(x²+1)
Because the denominator = x 2 + 1 ≥ 1
So it makes sense what fraction x takes

If fraction 2x − 3 X2 + 4x + m no matter what real number x takes, the value range of M is______ .

∵ when △ = b2-4ac < 0, there is no solution for x2 + 4x + M = 0,
That is, 42-4m < 0, M > 4,
When m > 4, no matter what real number x takes, the fraction is always meaningful
So the answer is m > 4

If fraction 2x − 3 X2 + 4x + m no matter what real number x takes, the value range of M is______ .

∵ when △ = b2-4ac < 0, there is no solution for x2 + 4x + M = 0,
That is, 42-4m < 0, M > 4,
When m > 4, no matter what real number x takes, the fraction is always meaningful
So the answer is m > 4

What is the value of a if the arithmetic square root X of Radix 1-A exactly makes fraction 1 / X-2 meaningless? why?

If there is no meaning, x = 2. The root sign 1-A is equal to 2, so a = - 15

Given that x = (2 radical 2) + 1, then the fraction: x ^ 3-11x-15th x ^ 2-2x-9 = urgent,

Therefore, x ^ 2 = 9 + 4 root 2 + 1, so x ^ 2 = 9 + 4 + 4 root number 2, in addition (x-1) = 2 root sign 2 fraction molecule = x ^ 2-2x-9 = x ^ 2-2x-9 = x ^ 2-2x + 1-1-9 = (x-1) ^ 2-10 = - 2 fraction's denominator = x ^ 3-11x-15 = x ^ 3-3x ^ 2 + 3x-1 + 3x ^ 2-3x + 1-11x-15 = (x-1) ^ 3 + 3x ^ 2-3x + 1-11x-15 = (x-1) ^ 3 + 3x ^ 2-14x-14 x-14 = (2 root number 2) ^ 3 + 3x (9 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + radical 2) - 14x (2

Given that x = - 4, the fraction (X-B) / (x + a) is meaningless. When x = 2, the fraction value is 0. Find a + B

The fraction is meaningless and the denominator is 0
So x + a = 0 - 4 + a = 0, a = 4
Fraction = 0, molecule 0
x-b=0 2-b=0 b=2
a+b=4+2=6

When x = 3, the value of fraction 2x + A / 5x-3b is 0, and when x = 2, the fraction is meaningless, then a =? B =? B =? B =? B = 0?

If the fraction is zero, the molecule is zero. So 3 * 2 + a = 0, so a = - 6, the fraction is meaningless. The denominator is zero. 5 * 2-3b = 0, so x = 10 / 3

In fraction X-1 / 2x + 1, when x is the value, the fraction value is 0; when x is what value, the fraction is meaningless?

When
x-1=0
The value of fraction 0 when x = 1
When denominator = 0
Fractions have no meaning
So 2x + 1 = 0
x=-1/2

2X + 3 / 12 + 7, when x is the value, the fraction is meaningful? The fraction is meaningless? The fraction value is zero?

2X + 12 is not equal to 0
If x is not equal to - 6, the fraction is meaningful; if x is equal to - 6, the fraction is meaningless
3x + 7 = 0 x = - 7 / 3 fraction value is zero

When x takes what value, the fraction x − 2 The value of 3 + 2x is negative

According to the meaning of the title, we get the following results:
x−2＞0
3 + 2x < 0 or
x−2＜0
3+2x＞0 ．
Solving equations
x−2＞0
3 + 2x < 0, there is no solution to the equations;
Solving equations
x−2＜0
3 + 2x > 0, the result is: - 3
2＜x＜2．