Question

1,5×|3+0,5x|-11,5=-8,5

Answer 1

Ответ:

X1 = -10 X2 = -2

Пошаговое объяснение:

1,5×|3+0,5x|-11,5=-8,5

Переносим константу в правую часть

1,5×|3+0,5x|=-8,5+11,5

Решаем

1,5×|3+0,5x|=3

Разделяем обе стороны на 1.5

|3+0,5x| = 2

Используя определение модуля, представляем уравнение с модулем в виде двух отдельных уравнений:

3+0,5x=2

3+0,5x=-2

Решаем:

X= -2

X= -10

Answer 2

To solve the equation 1.5 * |3 + 0.5x| - 11.5 = -8.5, you'll want to isolate the absolute value expression and solve for x. Here's how you can do it step by step:

1. Start by adding 11.5 to both sides of the equation to get rid of the -11.5 on the left side:

1.5 * |3 + 0.5x| = -8.5 + 11.5

1.5 * |3 + 0.5x| = 3

2. Now, divide both sides of the equation by 1.5 to isolate the absolute value:

|3 + 0.5x| = 3 / 1.5

|3 + 0.5x| = 2

3. You now have two cases to consider, one for when the expression inside the absolute value is positive and one for when it's negative:

Case 1: 3 + 0.5x is positive:

3 + 0.5x = 2

Subtract 3 from both sides:

0.5x = 2 - 3 0.5x = -1

Now, divide both sides by 0.5:

x = -1 / 0.5 x = -2

Case 2: 3 + 0.5x is negative:

-(3 + 0.5x) = 2

Now, you can distribute the negative sign:

-3 - 0.5x = 2

Add 3 to both sides:

-0.5x = 2 + 3 -0.5x = 5

Now, divide both sides by -0.5 (which is the same as multiplying by -2):

x = 5 / (-0.5) x = -10

So, the equation has two solutions: x = -2 and x = -10.