Question

0,5x(8x+1)=1,5(9-4x)

Answer 1

Ответ:

Расписала всё максимально подробно. Будут вопросы – обращайся)

Answer 2

To solve the equation 0.5x(8x+1) = 1.5(9-4x), follow these steps:

Step 1: Distribute the constants on the right side of the equation. 0.5x * 8x + 0.5x * 1 = 1.5 * 9 - 1.5 * 4x 4x^2 + 0.5x = 13.5 - 6x

Step 2: Move all terms to one side of the equation to set it to zero. 4x^2 + 0.5x + 6x - 13.5 = 0 4x^2 + 6.5x - 13.5 = 0

Step 3: To solve the quadratic equation, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 4, b = 6.5, and c = -13.5. Plug these values into the formula:

x = (-6.5 ± √(6.5² - 4 * 4 * -13.5)) / (2 * 4) x = (-6.5 ± √(42.25 + 216)) / 8 x = (-6.5 ± √258.25) / 8 x = (-6.5 ± 16.07) / 8

Now, solve for both possible values of x:

x = (9.57) / 8 ≈ 1.20 x = (-22.57) / 8 ≈ -2.82

So, the solutions for the equation are approximately x = 1.20 and x = -2.82.