Question

( 4х+6)×(1,8-0,2х)=0​

Answer 1

Пошаговое объяснение:

(4х + 6)*(1,8 - 0,2х) = 0

(4x + 6) = 0                     (1,8 - 0,2x) = 0

4x = -6                            -0,2x = -1,8

x₁ = -6 : 4                        x₂ = -1,8 : (-0,2)

x₁ = -1,5                           x₂ = 9

​Ответ: x₁ = -1,5, x₂ = 9.

Answer 2

раскрываем скобки

7.2х-0.8х^2+10.8-1.2х=0

6х-0.8х^2+10.8=0

0.8х^2-6х-10.8=0

решаем квадратное уравнение,находим дискриминант по формуле:

D=b^2-4ac=36+34.56=70.56

теперь найдем корни уравнения через формулу

x1=(-b-scrtD)/2a=(6-8.4)/1.6=-1.5

х2=(-b+scrtD)/2a=(6+8.4)/1.6=9

Answer 3

To solve the equation, we need to find the values of x that make the equation true. Let's simplify the equation and then solve for x:

(4x + 6) × (1.8 - 0.2x) = 0

First, distribute the multiplication:

1.8(4x) + 1.8(6) - 0.2x(4x) - 0.2x(6) = 0

Now, simplify:

7.2x + 10.8 - 0.8x^2 - 1.2x = 0

Next, move all terms to one side of the equation:

-0.8x^2 + 5.2x + 10.8 = 0

Now, this is a quadratic equation in standard form (ax^2 + bx + c = 0), where a = -0.8, b = 5.2, and c = 10.8.

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

x = (-b ± √(b^2 - 4ac)) / 2a

Substitute the values:

x = (-(5.2) ± √((5.2)^2 - 4(-0.8)(10.8))) / 2(-0.8)

x = (-5.2 ± √(27.04 + 34.56)) / (-1.6)

x = (-5.2 ± √61.6) / (-1.6)

Now, calculate the two possible values of x:

x₁ = (-5.2 + √61.6) / (-1.6)

x₂ = (-5.2 - √61.6) / (-1.6)

Using a calculator, we find:

x₁ ≈ 4.075

x₂ ≈ -0.825

So, the solutions to the equation are approximately x ≈ 4.075 and x ≈ -0.825.