Question

Модуль //2x-1/-4=6 решите​

Answer 1

Ответ:

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Answer 2

To solve the equation, we need to isolate the variable "x" on one side of the equation. Let's start by simplifying the equation step by step:

1. Remove the absolute value: |2x - 1| / -4 = 6

2. Eliminate the denominator by multiplying both sides by -4: -4 * |2x - 1| = 6 * -4

Now, we have two cases to consider since the expression inside the absolute value can be positive or negative:

Case 1: 2x - 1 is positive: -4 * (2x - 1) = -24 -8x + 4 = -24

Now, isolate x by subtracting 4 from both sides: -8x = -28

Finally, divide both sides by -8 to get the value of x: x = (-28) / (-8) x = 7/2 or x = 3.5

Case 2: 2x - 1 is negative: -4 * -(2x - 1) = -24 -4 * (-2x + 1) = -24 8x - 4 = -24

Now, isolate x by adding 4 to both sides: 8x = -20

Finally, divide both sides by 8 to get the value of x: x = (-20) / 8 x = -5/2 or x = -2.5

So, the equation has two solutions: x = 7/2 or x = -5/2 (or x = 3.5 or x = -2.5)