Question

Розв'язати рівняння: 6|x| - 5 = 7.Допоможіть будьласка​

Answer 1

Пошаговое объяснение:

6|×|-5=7

6•|×|=7+5

6•|×|=12

|×|=2

×=2

×=-2

Answer 2

Solving the Equation 6|x| - 5 = 7

To solve the equation 6|x| - 5 = 7, we can follow these steps:

1. Isolate the Absolute Value: First, we isolate the absolute value term by adding 5 to both sides of the equation.

2. Solve for |x|: Then, we divide both sides by 6 to solve for |x|.

3. Consider Both Positive and Negative Solutions: Finally, we consider both the positive and negative solutions for x.

Let's solve the equation step by step.

Step 1: Isolate the Absolute Value

We start with the equation 6|x| - 5 = 7.

Adding 5 to both sides, we get: 6|x| = 12

Step 2: Solve for |x|

Dividing both sides by 6, we have: |x| = 2

Step 3: Consider Both Positive and Negative Solutions

The equation |x| = 2 has two solutions: x = 2 and x = -2.

So, the solutions to the original equation 6|x| - 5 = 7 are: x = 2 and x = -2.

This is the solution to the given equation.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.