Question

-9(0.3х-8)+4(1.8х-2)х=-0.3​

Answer 1

Ответ:

Уравнение не имеет действительных решений

Пошаговое объяснение:

-9(0.3х-8)+4(1.8х-2)х=-0.3​

-2,7х+72+7,2х²-8х = -0,3

7,2х² - 10,7х + 72,3 = 0

Найдем дискриминант квадратного уравнения:

D = b² - 4ac = (-10.7)² - 4·7,2·72,3 = 114.49 - 2082.24 = -1967,75

Так как дискриминант меньше нуля, то уравнение не имеет действительных решений.

Answer 2

To solve the equation -9(0.3x - 8) + 4(1.8x - 2)x = -0.3, you need to perform the following steps:

1. Distribute the terms on both sides of the equation:

-9 * 0.3x + 9 * 8 + 4 * 1.8x - 4 * 2x^2 = -0.3

2. Simplify the equation:

-2.7x + 72 + 7.2x - 8x^2 = -0.3

3. Combine like terms:

(-2.7x + 7.2x) - 8x^2 + 72 = -0.3

4. Further simplify the equation:

4.5x - 8x^2 + 72 = -0.3

5. Move all terms to one side of the equation to set it to zero:

4.5x - 8x^2 + 72 + 0.3 = 0

6. Combine constants on the left side:

4.5x - 8x^2 + 72.3 = 0

7. Now, you have a quadratic equation in the form ax^2 + bx + c = 0, where a = -8, b = 4.5, and c = 72.3.

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

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case:

a = -8 b = 4.5 c = 72.3

Now, plug these values into the quadratic formula:

x = (-4.5 ± √(4.5^2 - 4 * (-8) * 72.3)) / (2 * (-8))

x = (-4.5 ± √(20.25 + 2318.4)) / (-16)

x = (-4.5 ± √2338.65) / (-16)

Now, you can calculate the two possible solutions for x:

1. x = (-4.5 + √2338.65) / (-16)
2. x = (-4.5 - √2338.65) / (-16)

These are the two solutions for the equation. You can approximate the numerical values for x using a calculator if needed.