Question

Решите уравнение и выберите правильный вариант ответа:

Answer 1

Х может быть любым числом, кроме -2 и 4.

Или (-бескон;-2)U(-2;4)U(4;+бескон)

 

Решение:

ОДЗ:

х неравен -2

х неравен  4

 

Решение:

1. Приводи к общему знаменателю левую часть

( 3x^2 - 12x + x^2 + 4x + 4 ) / (x+2)(x-4)

2. Приравнивай левую и правую часть:

  ( 3x^2 - 12x + x^2 + 4x + 4 ) / (x+2)(x-4) = 36 / (x+2)(x-4) 

3. Т.к в левой и правой части знаменатель один и тот-же - можем его отбросить

    3x^2 - 12x + x^2 + 4x + 4  = 36

4. Решаем, приыодим подобные и получаем

x^2-2x-8=0

x1=-2

x2=4

корни нам не подходят. Значит решением данного уравнения являются промежутки   (-бескон;-2)U(-2;4)U(4;+бескон)

Answer 2

Ваше решение во вложении:

 

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Answer 3

Solving the Equation

To solve the given equation, we need to choose the correct option from the provided choices. The equation options are as follows:

1. Option 1: cos(p/2-x)=-1 2. Option 2: cos(p+x)=sin(p/2) 3. Option 3: 2sin(x)cos(x)=-1/3 4. Option 4: cos(2x)-sin(2x)=-4/7 5. Option 5: cos(pi)=1 6. Option 6: sin(35+x)=2/2 7. Option 7: tan(pi/4)=1

Let's solve each option and choose the correct one.

1. Option 1: cos(p/2-x)=-1 - Solution: - cos(p/2-x)=-1 - The solution for this equation is p/2+2πn, n∈Z.

2. Option 2: cos(p+x)=sin(p/2) - Solution: - cos(p+x)=sin(p/2) - The solution for this equation is p/2+2πk, k∈Z.

3. Option 3: 2sin(x)cos(x)=-1/3 - Solution: - 2sin(x)cos(x)=-1/3 - The solution for this equation is -π/3, (-1)^(n+1)(1/2)arcsin(1/3)+1/2πn, n∈Z.

4. Option 4: cos(2x)-sin(2x)=-4/7 - Solution: - cos(2x)-sin(2x)=-4/7 - The solution for this equation is 1/2arccos(4/7)+πn, n∈Z.

5. Option 5: cos(pi)=1 - Solution: - The solution for this equation is π+2πn, n∈Z.

6. Option 6: sin(35+x)=2/2 - Solution: - The solution for this equation is not provided in the search results.

7. Option 7: tan(pi/4)=1 - Solution: - The solution for this equation is not provided in the search results.

Based on the provided search results, the correct option from the given choices is Option 1: cos(p/2-x)=-1.

Therefore, the correct option is Option 1.