Q44. Solve the given equation.2(4w+w2... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q44. (page 462)

Solve the given equation.
$2 (4 w + w^{2}) 鈭� 6 = 2 w (w 鈭� 4) + 10$

Short Answer

Expert verified

$w = 1$ is the solution of the given equation.

Step by step solution

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign $" = "$ .

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

$a^{m} . a^{n} = a^{m + n}$

Where, $a$ is any non-zero real number.

Step 3. Solve the equation, 2(4w+w2)−6=2w(w−4)+10.

Use the power of a product rule to solve the equation.

$\begin{matrix} 2 (4 w + w^{2}) 鈭� 6 = 2 w (w 鈭� 4) + 10 \\ 2 (4 w) + 2 (w^{2}) 鈭� 6 = 2 w (w) 鈭� 2 w (4) + 10 \\ {8w+2w}^{2} 鈭� 6 = 2 w^{2} 鈭� 8 w + 10 \\ {8w+2w}^{2} 鈭� 2 w^{2} + 8 w = 10 + 6 \\ 16 w = 16 \\ w = \frac{16}{16} \\ w = 1 \end{matrix}$

Therefore, $w = 1$ is the solution of the given equation.

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91影视

Solve the given equation.
$2 (4 w + w^{2}) 鈭� 6 = 2 w (w 鈭� 4) + 10$

Short Answer

Step by step solution

Step 1. Define an equation.

Step 2. Define the power of a product rule.

Step 3. Solve the equation, 2(4w+w2)−6=2w(w−4)+10.

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91影视

Solve the given equation.2(4w+w2)鈭�6=2w(w鈭�4)+10

Short Answer

Step by step solution

Step 1. Define an equation.

Step 2. Define the power of a product rule.

Step 3. Solve the equation, 2(4w+w2)−6=2w(w−4)+10.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Applied Mathematics

Logic and Functions

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve the given equation.
$2 (4 w + w^{2}) 鈭� 6 = 2 w (w 鈭� 4) + 10$