Question

Решите уровнение 4|x| + 5|x| - 3 = 2|x| + 11 30БАЛЛОВ

Answer 1

The equation is solved by the module rule

Answer 2

Solving the Equation 4|x| + 5|x| - 3 = 2|x| + 11

To solve the given equation 4|x| + 5|x| - 3 = 2|x| + 11, we can start by simplifying the equation and then solving for the value of x.

First, let's simplify the equation step by step.

Step 1: Combine Like Terms

We can combine the like terms on both sides of the equation.

4|x| + 5|x| - 3 = 2|x| + 11 (4 + 5)|x| - 3 = 2|x| + 11 9|x| - 3 = 2|x| + 11

Step 2: Move Like Terms to One Side

Next, we can move the terms with |x| to one side of the equation.

9|x| - 2|x| = 11 + 3 7|x| = 14

Step 3: Solve for |x|

Now, we can solve for |x| by dividing both sides by 7.

7|x|/7 = 14/7 |x| = 2

Step 4: Find the Values of x

Since |x| = 2, x can be either 2 or -2.

Therefore, the solutions for the equation 4|x| + 5|x| - 3 = 2|x| + 11 are x = 2 and x = -2.

The solutions for the equation 4|x| + 5|x| - 3 = 2|x| + 11 are x = 2 and x = -2.

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