Question

Розв’яжіть рівняння: a) x-4,8=-7,3; 6) |x|-7= -3; B) |x - 3| = 12.​

Answer 1

Ответ:

А)Х= -2,5 Б)Х= -4 або 4 В) Х= -15 або -15

Пошаговое объяснение:

Answer 2

a) x - 4.8 = -7.3:

To solve for x, add 4.8 to both sides of the equation:

x - 4.8 + 4.8 = -7.3 + 4.8

x = -2.5

b) |x| - 7 = -3:

First, add 7 to both sides of the equation:

|x| - 7 + 7 = -3 + 7

|x| = 4

Now, we have an absolute value equation. To solve for x, we need to consider two cases:

1. x is positive or zero: |x| = 4 implies x = 4

2. x is negative: |x| = 4 also implies -x = 4 (since the absolute value of a negative number is positive) Solve for x: -x = 4 x = -4

So, the solutions are x = 4 and x = -4.

c) |x - 3| = 12:

Again, we have an absolute value equation. Solve for x by considering two cases:

1. x - 3 is positive or zero: |x - 3| = 12 implies x - 3 = 12 Solve for x: x = 12 + 3 x = 15

2. x - 3 is negative: |x - 3| = 12 also implies -(x - 3) = 12 (since the absolute value of a negative number is positive) Solve for x: -(x - 3) = 12 -x + 3 = 12 -x = 12 - 3 -x = 9 x = -9

So, the solutions are x = 15 and x = -9.