Question

(модуль)6x-7(закрылся модуль)=8

Answer 1

|6x-7|=8
1. 6x-7 $\geq$0                            2. 6x-7 $\leq$0
6x $\geq$7                                       6x $\leq$7
x $\geq$7/6                                      x $\leq$7/6
6x-7 = 8                                 6x-7 = -8
6x = 8+7                                6x = -8+7
6x = 15                                   6x = -1
x = 15/6                                  x = -1/6
x = 2,5
Ответ: -1/6; 2,5

Answer 2

To solve the equation, let's isolate the variable on one side of the equation. In this case, we'll isolate 'x'.

Given the equation: 6x - 7|6x| = 8

Step 1: Remove the absolute value (| |) by considering two cases:

Case 1: 6x is positive (6x > 0) If 6x > 0, then |6x| = 6x, so the equation becomes: 6x - 7(6x) = 8

Case 2: 6x is negative (6x < 0) If 6x < 0, then |6x| = -6x, so the equation becomes: 6x - 7(-6x) = 8

Step 2: Solve the two equations separately:

Case 1: 6x - 7(6x) = 8 6x - 42x = 8 Combine like terms: -36x = 8 Divide both sides by -36: x = 8 / -36 x = -2/9

Case 2: 6x - 7(-6x) = 8 6x + 42x = 8 Combine like terms: 48x = 8 Divide both sides by 48: x = 8 / 48 x = 1/6

So the solutions to the equation are x = -2/9 and x = 1/6.