Question

4|–x| – 5(|x| –4) = 3|–x|x1 + x2 = x1 ∙ x2 = ​

Answer 1

Ответ:

1) 5

2) 2x²

3) x²

Пошаговое объяснение:

в модуле всегда положительное число

Answer 2

Ответ:

х= 5

Пошаговое объяснение:

1. 4•|-х| = 4х

2. -5•|х| = -5х

3. -5•(-4) = 20

4. 3•|-х| = 3х

Переносим подобные через знак равно, и меняем знаки:

4х-5х-3х= -20

-20= -4х

х= -20:(-4)

х= 5

Answer 3

Let's break down the given equation step by step and solve for x. The equation you've provided is:

4|–x| - 5(|x| - 4) = 3|–x|x1 + x2 = x1 ∙ x2

First, simplify the absolute value expressions by considering two cases:

Case 1: x ≥ 0 In this case, |x| = x, and |−x| = −x.

So, the equation becomes:

4(−x) - 5(x - 4) = 3(−x)

Now, distribute and simplify:

-4x - 5x + 20 = -3x

Combine like terms:

-9x + 20 = -3x

Now, move the terms involving x to one side of the equation:

-9x + 3x = -20

Simplify further:

-6x = -20

Now, divide both sides by -6 to solve for x:

x = (-20) / (-6) x = 10/3

Case 2: x < 0 In this case, |x| = -x, and |−x| = x.

So, the equation becomes:

4x - 5(-x - 4) = 3x

Now, distribute and simplify:

4x + 5x + 20 = 3x

Combine like terms:

9x + 20 = 3x

Now, move the terms involving x to one side of the equation:

9x - 3x = -20

Simplify further:

6x = -20

Now, divide both sides by 6 to solve for x:

x = (-20) / 6 x = -10/3

So, we have two possible solutions for x: x = 10/3 and x = -10/3.