Question

| |5x - 2| - 8 | = 9

Answer 1

l5x-2l-8=9   x1=19/5  x2=-3

l5x-2l-8=-9  x принадлежит значок типобуква O зачёркнутая  

Ответ: x1=19/5  x2=-3

Answer 2

To solve the equation |5x - 2| - 8 = 9, we'll need to break it down into two cases, depending on the sign of the expression inside the absolute value.

Case 1: (5x - 2) is positive or zero: In this case, the equation becomes: 5x - 2 - 8 = 9

Now, solve for x: 5x - 10 = 9 5x = 9 + 10 5x = 19 x = 19 / 5 x = 3.8

Case 2: (5x - 2) is negative: In this case, the equation becomes: -(5x - 2) - 8 = 9

Now, solve for x: -5x + 2 - 8 = 9 -5x - 6 = 9 -5x = 9 + 6 -5x = 15 x = 15 / -5 x = -3

So, we have two solutions for x: x = 3.8 and x = -3.