Question

-2,5*| х+2,4 | = -5 срочноооо

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

-2.5*|x+2.4|=-5

Сокращаем обе стороны на -2,5

|x+2.4|=2

Используя свойства модуля получаем:

x+2.4=2               x=-0.4

x+2.4=-2              x=-4.4

Ответ: x1=-4.4,  x2=-0.4

Answer 3

To solve the equation $-2.5 \cdot |x + 2.4| = -5$, let's isolate $|x + 2.4|$:

$$\begin{align*} -2.5 \cdot |x + 2.4| &= -5 \\ |x + 2.4| &= \frac{-5}{-2.5} \\ |x + 2.4| &= 2 \end{align*}$$

Now, the absolute value $|x + 2.4|$ can be either $x + 2.4$ or $-(x + 2.4)$ depending on the sign of $x + 2.4$.

1. If $x + 2.4 \geq 0$, then $|x + 2.4| = x + 2.4$.

   $$x + 2.4 = 2$$

   Solve for $x$.

2. If $x + 2.4 < 0$, then $|x + 2.4| = -(x + 2.4)$.

   $$-(x + 2.4) = 2$$

   Solve for $x$.

Solve each equation separately to find the potential solutions for $x$.