Question

/-2x-16/=5/-2 x-8/=0​

Answer 1

Ответ:

1) -2х-16=5

-2х=16+5

х=21:(-2)

х= -10,5

2)-2х-8=0

-2х=8

х=8:(-2)

х= -4

Пошаговое объяснение:

Answer 2

Starting with the first absolute value expression:

|-2x - 16| = 5

This means that either -2x - 16 = 5 or -2x - 16 = -5 (because the absolute value of any number is either the number itself or its negative). Solving for x in each case:

-2x - 16 = 5 -2x = 21 x = -10.5

or

-2x - 16 = -5 -2x = 11 x = -5.5

So we have two possible solutions for x: -10.5 or -5.5.

Now let's look at the second absolute value expression:

|-2x - 8| = 0

The absolute value of any number is 0 only when the number itself is 0. So:

-2x - 8 = 0 -2x = 8 x = -4

So we have a third possible solution for x: -4.

Therefore, the solutions for the given equation are: x = -10.5, -5.5, or -4.