Question

1)|x| = 2,5;2)| a | = -4;3)|B| = 04)|y+3|=05)16- |x| = 118 6)/3x+9*2+3,8=-2,2​

Answer 1

Відповідь:x-2|=5 x-2=5 и x-2=-5 x=5+2 x=-5+2 x₁=7 x₂=-3. Ответ: -3; 7.

Покрокове пояснення:

Answer 2

Let's go through each equation step by step:

1. |x| = 2.5: The absolute value of x is equal to 2.5. This means that x can be either positive or negative, but its magnitude must be 2.5. Therefore, the solutions for x are x = 2.5 and x = -2.5.

2. |a| = -4: The absolute value of a cannot be negative. However, in this equation, the absolute value is equal to -4, which is not possible. Therefore, there are no solutions for a in this equation.

3. |B| = 0: The absolute value of B is equal to 0. This means that B must be equal to 0, since the absolute value of any number is always non-negative. Therefore, the solution for B is B = 0.

4. |y + 3| = 0: The absolute value of y + 3 is equal to 0. This means that y + 3 must be equal to 0, since the absolute value of any number is non-negative. Solving for y, we get y = -3 as the solution.

5. 16 - |x| = 11: To solve this equation, we isolate the absolute value term on one side. Subtracting 16 from both sides, we get -|x| = -5. To remove the negative sign, we can multiply both sides by -1, giving |x| = 5. This means that x can be either positive or negative, but its magnitude must be 5. Therefore, the solutions for x are x = 5 and x = -5.

6. (1/3)x + 9 * 2 + 3.8 = -2.2: To solve this equation, we'll simplify the equation and isolate x. First, we simplify: 1/3 * x + 18 + 3.8 = -2.2. Next, we combine like terms: 1/3 * x + 21.8 = -2.2. To isolate x, we'll subtract 21.8 from both sides: 1/3 * x = -24. Finally, we multiply both sides by 3 to solve for x: x = -72.

Therefore, the solution for the equation (1/3)x + 9 * 2 + 3.8 = -2.2 is x = -72.