Question

1, 6,7х+4х-0,5*(10х-1,2)=18,84 2, 0,5 * (0,1х-1,2)в квадрате=8 ПОМОГИТЕ!!!!!

Answer 1

1) x=3,2
2)x1=52
x2=-28

Answer 2

1, 6,7х+4х-0,5*(10х-1,2)=18,84
6,7x+4x-5x+0,6=18,84
6,7+4x-5x=18,84-0,6
5,7x=18,24
X=3,2

Answer 3

Sure, I'd be happy to help you solve these equations step-by-step. Let's go through each of them:

1. Solve the equation: 1, 6, 7х + 4х - 0,5 * (10х - 1,2) = 18,84

To solve this equation, we need to simplify and isolate the variable x. Let's start by simplifying the equation:

7x + 4x - 0.5 * (10x - 1.2) = 18.84

Combine like terms on the left side:

11x - 0.5 * (10x - 1.2) = 18.84

Now distribute the -0.5 to both terms inside the parentheses:

11x - 5x + 0.6 = 18.84

Combine like terms again:

6x + 0.6 = 18.84

Now, isolate the variable x by moving 0.6 to the other side of the equation:

6x = 18.84 - 0.6

6x = 18.24

Finally, divide both sides by 6 to solve for x:

x = 18.24 / 6

x ≈ 3.04

So the solution to the equation is x ≈ 3.04.

2. Solve the equation: 2, 0,5 * (0,1х - 1,2) в квадрате = 8

To solve this equation, we'll start by simplifying and then taking the square root to isolate x. Let's proceed step by step:

0.5 * (0.1x - 1.2)² = 8

First, let's simplify the expression inside the parentheses:

0.1x - 1.2

Next, square this simplified expression:

(0.1x - 1.2)² = (0.1x - 1.2) * (0.1x - 1.2)

Now, we can apply the distributive property:

(0.1x - 1.2) * (0.1x - 1.2) = 0.01x² - 0.12x - 0.12x + 1.44

Combine like terms:

0.01x² - 0.24x + 1.44

Now, our equation becomes:

0.5 * (0.01x² - 0.24x + 1.44) = 8

Next, distribute the 0.5 to each term inside the parentheses:

0.5 * 0.01x² - 0.5 * 0.24x + 0.5 * 1.44 = 8

Simplify further:

0.005x² - 0.12x + 0.72 = 8

Now, let's move 8 to the other side of the equation:

0.005x² - 0.12x + 0.72 - 8 = 0

Combine like terms:

0.005x² - 0.12x - 7.28 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 0.005, b = -0.12, and c = -7.28.

Now, plug these values into the formula:

x = (0.12 ± √((-0.12)² - 4 * 0.005 * -7.28)) / 2 * 0.005

x = (0.12 ± √(0.0144 + 0.1456)) / 0.01

x = (0.12 ± √0.16) / 0.01

Now, calculate the two possible solutions for x:

1. x = (0.12 + 0.4) / 0.01 = 0.52 / 0.01 = 52
2. x = (0.12 - 0.4) / 0.01 = -0.28 / 0.01 = -28

So the two solutions to the equation are x = 52 and x = -28.

Please double-check your original equations and calculations to make sure everything is correct. If you have any more questions or need further assistance, feel free to ask!