Question

10|2x| = 25 3|0,5x| = 13,5-2|2,1x| = -12,6​

Answer 1

Ответ:

на фото

Пошаговое объяснение:

поставь коронку и спасибо пж

Answer 2

Пошаговое объяснение:

$\\ x = \frac{5}{4} \\ x = - \frac{5}{4} \\ x = 0.9 = 13.5 \\ x = 3 \\ x = - 3$

Второй пример утверждение ложно

Answer 3

To solve these absolute value equations, you'll need to consider both the positive and negative cases for the absolute values. Here's how you can solve each equation step by step:

1. 10|2x| = 25:

   Divide both sides by 10:

   |2x| = 2.5

   Now consider two cases:

   Case 1: 2x = 2.5 Solve for x:

   2x = 2.5 x = 2.5 / 2 x = 1.25

   Case 2: 2x = -2.5 Solve for x:

   2x = -2.5 x = -2.5 / 2 x = -1.25

   So, the solutions for the equation are x = 1.25 and x = -1.25.

2. 3|0.5x| = 13.5:

   Divide both sides by 3:

   |0.5x| = 13.5 / 3 |0.5x| = 4.5

   Now consider two cases:

   Case 1: 0.5x = 4.5 Solve for x:

   0.5x = 4.5 x = 4.5 / 0.5 x = 9

   Case 2: 0.5x = -4.5 Solve for x:

   0.5x = -4.5 x = -4.5 / 0.5 x = -9

   So, the solutions for the equation are x = 9 and x = -9.

3. -2|2.1x| = -12.6:

   Divide both sides by -2 (note the negative sign):

   |2.1x| = -12.6 / -2 |2.1x| = 6.3

   The absolute value of a number cannot be negative, so there are no real solutions for this equation.

In summary:

• The first equation has two solutions: x = 1.25 and x = -1.25.
• The second equation has two solutions: x = 9 and x = -9.
• The third equation has no real solutions.