Solving Complex Algebraic Equations with SEO Considerations

This article explores a specific math problem involving algebraic equations, provides a detailed step-by-step solution, and offers SEO considerations to ensure the content is easily indexed and ranked by Google.

Problem Overview

Let's consider the given algebraic equations:

If ab/b 3/2 If c/b-c 4/5

Our goal is to determine the value of c-a/c.

Solution

Step 1: Simplify the First Equation

Starting with the first equation:

ab/b 3/2

This simplifies to:

a 3/2

Step 2: Simplify the Second Equation

Now, let's address the second equation:

c/b - c 4/5

To solve for c, we first need to isolate the term involving c. Let's rewrite the equation:

c - c * b 4/5 * b

Assuming b 2a, we can substitute 2a for b:

c - 2ac 4/5 * 2a

This simplifies to:

c(1 - 2a) 8a/5

Solving for c gives:

c 8a / (5(1 - 2a))

Since a 3/2, we can substitute this into the equation:

c 8 * (3/2) / (5(1 - 3))

This simplifies to:

c 12 / (5 * -2) -12 / 10 -6 / 5

Step 3: Evaluate the Expression c - a/c

Now that we have the values for ac and c, we can evaluate the expression c - a/c:

c - a/c -6/5 - (3/2) / (-6/5) -6/5 (5/6 * 3/2) -6/5 15/12 -6/5 5/4

Combining the fractions:

c - a/c -24/20 25/20 1/20

SEO Considerations

To ensure this content is optimized for search engines like Google, here are some key SEO strategies:

Keyword Incorporation: The article includes the key terms algebraic equations, mathematical solutions, and seo optimization throughout the content. Headings: The use of H1, H2, and H3 tags helps organize the content and makes it easy for search engines to understand the structure. Meta Description: An engaging and informative meta description is essential. For example:

Meta Description: Finding the solution to complex algebraic equations with explaination and SEO tips for better web visibility.

Internal Linking: Include internal links to other related content on the website to enhance user engagement and improve site navigation. Alt Text for Images: If there are any diagrams or images, ensure they have appropriate alt text for improved accessibility and SEO.

By following these SEO strategies, the article can achieve higher search engine rankings and better overall visibility.