Question

Розв'яжіть рівняння 1)|x|=9,6; 2)|x|=-4 ​

Answer 1

Ответ:

1) х = +-9,6

2) х є ∅

Пошаговое объяснение:

Модуль - це невід'ємне значення числа без урахування знаку. Другий вираз не має коренів, бо модуль не може бути від'ємним числом.

Answer 2

1. |x| = 9.6

To solve this equation, you need to consider two cases: one for when x is positive and one for when x is negative.

Case 1: x is positive |x| = x (because the absolute value of a positive number is itself) So the equation becomes: x = 9.6

Case 2: x is negative |x| = -x (because the absolute value of a negative number negates it) So the equation becomes: -x = 9.6

Now, solve for x in each case:

Case 1: x = 9.6

Case 2: -x = 9.6

Multiply both sides of the equation in Case 2 by -1 to isolate x: x = -9.6

So, the solutions to the equation |x| = 9.6 are x = 9.6 and x = -9.6.

2. |x| = -4

In this case, you'll notice that the absolute value of a real number is always non-negative (greater than or equal to zero). Therefore, there are no real solutions to the equation |x| = -4 because the absolute value of any real number cannot be negative.

So, the equation |x| = -4 has no real solutions.