Question

|X|+3=24|X|-7=03|X|+2=0​

Answer 1

Ответ:

1) x1=-1 x2= 1

2) х1=7:4 х2=-7:4

3)Х1=2:3 х2=-2:3

Answer 2

It looks like you've provided a set of equations involving absolute values of $x$:

1. $|x| + 3 = 24$
2. $|x| - 7 = 0$
3. $|x| + 2 = 0$

Let's analyze each equation one by one:

1. $|x| + 3 = 24$ Subtracting 3 from both sides: $|x| = 21$ This leads to two possible solutions: $x = 21$ and $x = -21$.

2. $|x| - 7 = 0$ Adding 7 to both sides: $|x| = 7$ Again, two possible solutions: $x = 7$ and $x = -7$.

3. $|x| + 2 = 0$ This equation has no real solutions, since the absolute value of any real number is always non-negative.

So, the solutions for the absolute value equations are: $x = 21, -21, 7, -7$.

Remember that the absolute value of a number is its distance from zero on the number line, so it's always non-negative. This is why the absolute value of $x$ is never negative, and any equation involving absolute values will have two solutions for $x$ (unless one of the equations is impossible, like the third one you provided).