Q. 2.139 Solve聽3x-4-4=8... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 2.139 (page 201)

Solve $3 |x - 4| - 4 = 8$

Short Answer

Expert verified

The required solutions are $x_{1} = 0, x_{2} = 8$ .

Step by step solution

Step 1. Given information.

We have:

$3 |x - 4| - 4 = 8$

Step 2. Isolate the absolute expression.

We have:

$3 |x - 4| - 4 = 8$

Add $4$ to both sides:

$3 |x - 4| - 4 + 4 = 8 + 4 3 |x - 4| = 12 \frac{3 |x - 4|}{3} = \frac{12}{3} |x - 4| = 4$

Step 3. Write the equivalent equations.

Apply absolute rule: $If 鈥� | u | 鈥� = 鈥� a, 鈥� a > 0 鈥� then 鈥� u 鈥� = 鈥� a 鈥� or 鈥� u 鈥� = 鈥� - a$

$x - 4 = - 4 or 鈥� x - 4 = 4$

Step 4. Solve the each equations.

Start with first equation:

$x - 4 = - 4$

Add $4$ to both sides:

$x - 4 + 4 = - 4 + 4 x = 0$

Now, solve $x - 4 = 4 :$

$x - 4 + 4 = 4 + 4 x = 8$

Step 5. Check the each solution.

Substitute $0$ and $8$ into the original equation:

$3 |x - 4| - 4 = 8$

At $x = 0 :$

$3 |0 - 4| - 4 = 8 12 - 4 = 8 8 = 8$

Hence, verified

At $x = 8 :$

$3 |8 - 4| - 4 = 8 12 - 4 = 8 8 = 8$

Hence, verified.

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91影视

Solve $3 |x - 4| - 4 = 8$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Isolate the absolute expression.

Step 3. Write the equivalent equations.

Step 4. Solve the each equations.

Step 5. Check the each solution.

One App. One Place for Learning.

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91影视

Solve3x-4-4=8

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Isolate the absolute expression.

Step 3. Write the equivalent equations.

Step 4. Solve the each equations.

Step 5. Check the each solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve $3 |x - 4| - 4 = 8$