Question

0,6х-1,6х(х-4)=3(7-0,4х)​

Answer 1

Пошаговое объяснение:

Войти

0,6-1,6(х-4)=3(7-0,4х)

Ответ или решение1

0,6 - 1,6 * (х - 4) = 3 * (7 - 0,4х),

0,6 - 1,6 * х - 1,6 * (-4) = 3 * 7 + 3 * (-0,4х),

0,6 - 1,6х + 6,4 = 21 - 1,2х,

7 - 1,6х = 21 - 1,2х,

1,2х - 1,6х = 21 - 7,

-0,4х = 14,

х = 14 : (-0,4),

х = -35.

Проверка:

0,6 - 1,6 * (-35 - 4) = 3 * (7 - 0,4 * (-35)),

0,6 - 1,6 * (-39) = 3 * (7 + 14),

0,6 + 62,4 = 3 * 21,

63 = 63, верно.

Следовательно, уравнение решено правильно, х = -35 является корнем (решением) этого уравнения.

Ответ: х = -35.

Answer 2

To solve the equation 0.6x - 1.6x(x - 4) = 3(7 - 0.4x), let's simplify the equation and then solve for x.

Expanding the equation: 0.6x - 1.6x^2 + 6.4x = 21 - 1.2x

Combining like terms: 0.6x + 6.4x - 1.6x^2 = 21 - 1.2x

Now let's move all terms to one side of the equation: 0.6x + 6.4x - 1.6x^2 + 1.2x - 21 = 0

Combining like terms again: (0.6x + 6.4x + 1.2x) - 1.6x^2 - 21 = 0

Simplifying the equation: 8.2x - 1.6x^2 - 21 = 0

Now the equation is in the form of a quadratic equation. To solve it, we can either factor it or use the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = -1.6, b = 8.2, and c = -21.

x = (-(8.2) ± √((8.2)^2 - 4(-1.6)(-21))) / (2(-1.6))

Simplifying further: x = (-8.2 ± √(67.24 - 134.4)) / (-3.2)

x = (-8.2 ± √(-67.16)) / (-3.2)

Since the discriminant (b^2 - 4ac) is negative, the quadratic equation does not have real solutions. Therefore, there are no real values of x that satisfy the equation 0.6x - 1.6x(x - 4) = 3(7 - 0.4x).