Question

Уравнения: Нужны решения, буду благодарен. I. а) -6,8 - 1/3x = 7,2 б) x * (9,8 + 2x) = 0 в) -3,1 + 1/6x = 3,5 г) (5,6 - 2x) * x = 0 II. а) -2,8 * (3x + 7) - 4,2 = 1,4 б) 2x = x * (x + 1,5) в) - 1,3 * (7 + 4x) - 11 = -4,5 г) (x - 2,3) * x = 4x

Answer 1

Ответ на фото, но: Три уравнения: 1.б), 1.г), 2.б) исправила. Это те уравнения где равно 0. Все остальные уравнения на фото правильные и прошли проверку. 1.б) х(9,8+2х)=0 ●●● 9,8х+2х^2=0 ●●● 9,8х=(-2х^2) ●●● 9,8х÷(-2х)=х ●●● х=(-4,9) ●●● проверка: ●●● (-4,9)×((9,8+2×(-4,9))=(-4,9)×(9,8-9,8)=0 ●●● ______________ 1.г) ● (5,6-2х)х=0 ●●● 5,6х-2х^2=0 ●●● 5,6х=2х^2 ●●● 5,6х÷2х=х ●●● х=2,8 ●●● проверка: ●●● (5,6-2×2,8)×2,8=(5,6-5,6)×2,8=0×2,8=0 ●●● _____________ 2.б) ● 2х=х(х+1,5) ●●● 2х=х^2+1,5х ●●● 2х-1,5х=х^2 ●●● 0,5х=х^2 ●●● 0,5х÷х=х ●●● х=0,5 ●●● проверка: ●●● 2×0,5=0,5(0,5+1,5) ●●● 1=0,5×2=1 ●●● __________ P.s. 《 x^2 》- это икс в квадрате. 《 ●●● 》это выделила пробелы между действиями, что бы не было каши

Answer 2

I'll be happy to help you solve these equations! Let's go through each equation step by step and find the solutions.

I. а) -6.8 - 1/3x = 7.2

To solve this equation, we can start by isolating the variable x.

First, let's get rid of the decimal by multiplying the entire equation by 3 to eliminate the fraction:

-20.4 - x = 21.6

Next, we can isolate x by adding 20.4 to both sides of the equation:

- x = 21.6 + 20.4

Simplifying, we have:

- x = 42

Finally, we can multiply both sides of the equation by -1 to solve for x:

x = -42

So the solution to the equation -6.8 - 1/3x = 7.2 is x = -42.

б) x * (9.8 + 2x) = 0

To solve this equation, we can expand the expression on the left side:

9.8x + 2x^2 = 0

Now, we have a quadratic equation. We can rearrange it into standard quadratic form by moving all the terms to one side:

2x^2 + 9.8x = 0

Next, we can factor out the common factor of x:

x(2x + 9.8) = 0

To find the solutions, we can set each factor equal to zero and solve for x:

x = 0 or 2x + 9.8 = 0

For the second equation, we can subtract 9.8 from both sides:

2x = -9.8

Dividing both sides by 2, we get:

x = -4.9

So the solutions to the equation x * (9.8 + 2x) = 0 are x = 0 and x = -4.9.

в) -3.1 + 1/6x = 3.5

To solve this equation, we can start by isolating the variable x.

First, let's get rid of the fraction by multiplying the entire equation by 6:

-18.6 + x = 21

Next, we can isolate x by adding 18.6 to both sides of the equation:

x = 21 + 18.6

Simplifying, we have:

x = 39.6

So the solution to the equation -3.1 + 1/6x = 3.5 is x = 39.6.

г) (5.6 - 2x) * x = 0

To solve this equation, we can apply the zero product property, which states that if a product of two factors equals zero, then at least one of the factors must be zero.

Setting each factor equal to zero, we have:

5.6 - 2x = 0 or x = 0

For the first equation, we can subtract 5.6 from both sides:

-2x = -5.6

Dividing both sides by -2, we get:

x = 2.8

So the solutions to the equation (5.6 - 2x) * x = 0 are x = 2.8 and x = 0.

II. а) -2.8 * (3x + 7) - 4.2 = 1.4

To solve this equation, we can start by simplifying the expression on the left side:

-8.4x - 19.6 - 4.2 = 1.4

Next, we can combine like terms:

-8.4x - 23.8 = 1.4

To isolate x, we can add 23.8 to both sides:

-8.4x = 25.2

Dividing both sides by -8.4, we get:

x = -3

So the solution to the equation -2.8 * (3x + 7) - 4.2 = 1.4 is x = -3.

б) 2x = x * (x + 1.5)

To solve this equation, we can start by distributing x to the terms inside the parentheses:

2x = x^2 + 1.5x

Next, we can rearrange the equation into standard quadratic form by moving all the terms to one side:

x^2 + 1.5x - 2x = 0

Simplifying, we have:

x^2 - 0.5x = 0

To factor out the common factor of x, we have:

x(x - 0.5) = 0

Setting each factor equal to zero, we have:

x = 0 or x - 0.5 = 0

For the second equation, we can add 0.5 to both sides:

x = 0.5

So the solutions to the equation 2x = x * (x + 1.5) are x = 0 and x = 0.5.

в) -1.3 * (7 + 4x) - 11 = -4.5

To solve this equation, we can start by simplifying the expression on the left side:

-9.1 - 5.2x - 11 = -4.5

Next, we can combine like terms:

-5.2x - 20.1 = -4.5

To isolate x, we can add 20.1 to both sides:

-5.2x = 15.6

Dividing both sides by -5.2, we get:

x = -3

So the solution to the equation -1.3 * (7 + 4x) - 11 = -4.5 is x = -3.

г) (x - 2.3) * x = 4x

To solve this equation, we can start by simplifying the expression on the left side:

x^2 - 2.3x = 4x

Next, we can rearrange the equation into standard quadratic form by moving all the terms to one side:

x^2 - 6.3x = 0

To factor out the common factor of x, we have:

x(x - 6.3) = 0

Setting each factor equal to zero, we have:

x = 0 or x - 6.3 = 0

For the second equation, we can add 6.3 to both sides:

x = 6.3

So the solutions to the equation (x - 2.3) * x = 4x are x = 0 and x = 6.3.

I hope this helps! Let me know if you have any further questions.