Question

1) ||x|-2|=52) ||x|-111|:(-11)=03) (x-7)×(x-2,5)=0​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Sure, I can help you with these equations:

1. ||x| - 2| = 5:

This equation involves the absolute value of x. We can split it into two cases to solve it:

Case 1: x is positive or zero (x >= 0): |x - 2| = 5 x - 2 = 5 x = 7

Case 2: x is negative (x < 0): |x - 2| = 5 -(x - 2) = 5

• x + 2 = 5
• x = 3 x = -3

So, the solutions for this equation are x = 7 and x = -3.

2. ||x| - 111| : (-11) = 0:

This equation can also be split into cases:

Case 1: x is positive or zero (x >= 0): |x - 111| / (-11) = 0 (note: dividing by a negative number flips the inequality) |x - 111| = 0 x - 111 = 0 x = 111

Case 2: x is negative (x < 0): |x - 111| / (-11) = 0 -(x - 111) / (-11) = 0 (x - 111) / 11 = 0 x - 111 = 0 x = 111

So, the solution for this equation is x = 111.

3. (x - 7) × (x - 2.5) = 0:

This equation is already factored, so we set each factor equal to zero and solve for x:

x - 7 = 0 x = 7

x - 2.5 = 0 x = 2.5

So, the solutions for this equation are x = 7 and x = 2.5.

To summarize:

1. x = 7, -3
2. x = 111
3. x = 7, 2.5