Question

1)Найдите решение уравнений 1. 2x+4=10 2. 3x-4=5 3. 2x+10=6 4. 4x+16=4 В ответ запишите сумму чисел, противоположных корням уравнений.

Answer 1

1 )10-4
2х=8
1 х=4
2) х=

Answer 2

1. 2x=10-4
x=6/2
x=3
2. 3x=5+4
3x=9
x=9/3
x=3
3. 2x=6-10
x=-4/2
x=-2
4. 4x=4-16
x=-12/4
x=-3
Корни: 3,3,-2,-3.
3+3+(-2)+(-3)=3+3-2-3=1
Корни противоположные: -3,-3,2,3
-3-3+2+3=-1

Answer 3

Уравнение 1: 2x + 4 = 10

To solve this equation, we need to isolate the variable x. Here are the steps:

1. Subtract 4 from both sides of the equation: 2x + 4 - 4 = 10 - 4 2x = 6

2. Divide both sides of the equation by 2 to solve for x: 2x/2 = 6/2 x = 3

Therefore, the solution to the equation 2x + 4 = 10 is x = 3.

Уравнение 2: 3x - 4 = 5

To solve this equation, we need to isolate the variable x. Here are the steps:

1. Add 4 to both sides of the equation: 3x - 4 + 4 = 5 + 4 3x = 9

2. Divide both sides of the equation by 3 to solve for x: 3x/3 = 9/3 x = 3

Therefore, the solution to the equation 3x - 4 = 5 is x = 3.

Уравнение 3: 2x + 10 = 6

To solve this equation, we need to isolate the variable x. Here are the steps:

1. Subtract 10 from both sides of the equation: 2x + 10 - 10 = 6 - 10 2x = -4

2. Divide both sides of the equation by 2 to solve for x: 2x/2 = -4/2 x = -2

Therefore, the solution to the equation 2x + 10 = 6 is x = -2.

Уравнение 4: 4x + 16 = 4

To solve this equation, we need to isolate the variable x. Here are the steps:

1. Subtract 16 from both sides of the equation: 4x + 16 - 16 = 4 - 16 4x = -12

2. Divide both sides of the equation by 4 to solve for x: 4x/4 = -12/4 x = -3

Therefore, the solution to the equation 4x + 16 = 4 is x = -3.

Сумма чисел, противоположных корням уравнений

Now let's find the sum of the numbers that are opposite to the roots of the equations.

For the first equation, the root is x = 3. The number opposite to 3 is -3.

For the second equation, the root is x = 3. The number opposite to 3 is -3.

For the third equation, the root is x = -2. The number opposite to -2 is 2.

For the fourth equation, the root is x = -3. The number opposite to -3 is 3.

The sum of these numbers is -3 + (-3) + 2 + 3 = -1.

Therefore, the sum of the numbers that are opposite to the roots of the equations is -1.