Question

|k+17|=2.5 решите пж​

Answer 1

Ответ:

2.5-17=-14.5

ответ: -14. 5

Answer 2

To solve the absolute value equation |k + 17| = 2.5, we need to consider two cases: one where the expression inside the absolute value is positive and one where it's negative.

Case 1: k + 17 is positive (k + 17 ≥ 0) In this case, the absolute value of k + 17 is simply the value of k + 17 itself. k + 17 = 2.5

Now, let's solve for k: k = 2.5 - 17 k = -14.5

Case 2: k + 17 is negative (k + 17 < 0) In this case, the absolute value of k + 17 is the negative of the expression inside the absolute value. |k + 17| = -(k + 17)

Now, set -(k + 17) equal to 2.5 and solve for k: -(k + 17) = 2.5

To remove the negative sign, multiply both sides by -1: k + 17 = -2.5

Now, solve for k: k = -2.5 - 17 k = -19.5

So, the solutions to the absolute value equation |k + 17| = 2.5 are k = -14.5 and k = -19.5.