Given 2XY + X + y = 83, find the value of X + y

Given 2XY + X + y = 83, find the value of X + y

Generally, in this case, one of them may be 0
If x = 0, y is 83
As a result, you just calculate the number of 1.2.3.4.5, and you find that you can't
So negative numbers should be considered
If x = - 1
As soon as you find y = - 84
It was set up
So the answer is - 85 or 83
2XY＋X＋Y＝83
Multiply two sides of the equation by 2 to get 2x (2XY + X + y) = 2x83
4xy＋2x＋2y＝166
4xy＋2x＋2y＋1＝167
(2x＋1)(2y＋1)＝167
When x and y are integers, 167 is prime and can only be 1 × 167 or (- 1) × (- 167)
When x = 0, y = 83, so x + y = 83
When x = - 1, y = - 84, so x + y = - 85
So x and y are integers, satisfying the equation of 2XY + X + y = 83, and the value of X + y is 83 or - 85
When x and y are rational numbers, consider the above process for yourself

If cos 31 ° is known to be m, then sin 239 ° Tan 149 ° is given=______ (expressed by an equation with m)

∵ cos31 ° = m, ∵ sin31 ° = 1 − cos231 ° = 1 − m2, sin239 ° = sin (270 ° - 31 °) = - cos31 °, tan149 ° = Tan (180 ° - 31 °) = - tan31 °, then sin239 ° tan149 ° = (- cos31 °); (- tan31 °) = cos31 ° tan31 ° = sin31 ° = 1 − m2

In displacement formula, does a bring in acceleration or acceleration?
Where is the answer? Why can't I see it?

Acceleration should be brought in (including positive and negative signs, indicating positive and negative directions)
Of course, you can also write symbols before you write formulas
If a is in the opposite direction, then s = v0t-1 / 2at ^ 2 can be written

If the solutions of the equations 6x + 3 = 0 and 5x + k = 20 are reciprocal, then the value of K is?

If the solution of 6x + 3 = 0 is x = - 1 / 2, then x = - 2 in 5x + k = 20, because the values of X in them are reciprocal to each other, then k = 30 can be obtained

To solve the equation about X: 2 / a (X & # 178; - a) = x & # 178; - 2 is a process, thank you!

A (X & # 178; - a) = x & # 178; - 2A (X & # 178; - a) = 2x & # 178; - 4ax & # 178; - A & # 178; = 2x & # 178; - 4 from the Title Meaning: ax & # 178; = 2X & # 178;, a & # 178; = 4, so a = 2

Using cross phase multiplication to decompose factor: X & # 178; - 2x-8

x²-2x-8
=（x-4）（x+2）

In the plane rectangular coordinate system, if the known point (1-2a, A-2) is in the third quadrant and a is an integer, then the value of a is______ ．

∵ point (1-2a, A-2) is in the third quadrant, ∵ 1-2a < 0, A-2 < 0, the solution is: 0.5 < a < 2, ∵ A is an integer, ∵ a = 1

The definition field of F (x) is r, and f (x + 2) = 1 + F (x) / 1-f (x). It is proved that f (x) is a periodic function, and its period is obtained. If f (1) = 2 + '3, find f (2005)

Let x + 2 be t
Then f (T) = [1 + F (T-2)] / [1-f (T-2)]
Let t be T-2
Then f (T-2) = [1 + F (T-4)] / [1-f (T-4)]
So f (T) = [1-f (T-4) + F (T-4) - 1] / [2-2f (T-4)] = 0

F (x) = (2x & sup2; + 2x) / (X & sup2; + 1) is a simple increasing function or a decreasing function

It's OK to find the derivative directly
f'(x)= (-2x^2+4x+2)/(x^2+1)^2
This is not a monotone function. We should first decrease, then increase, and then decrease. We can solve the equation on the molecule with specific coordinates~

It is known that the intercept of the straight line 2x + 3y-6 = 0 on the y-axis is B, then B =?
What is the set of points whose distance to point (L, 2) is less than or equal to 2?

Let x = 0 be y = 2 = B
The set of points whose distance to point (L, 0,2) is less than or equal to 2 is a circular surface with (1,0,2) as the center and 2 as the radius
It is expressed as {(x, y, z) | (x-1) ^ 2 + (y) ^ 2 + (Z-2) ^ 2