Equation, algebra manipulation that I dont get? help

nchin · 2012-12-19T08:12:06+00:00

how does 1/2kx2 = 1/2mv2 + 1/2kx2 become x = (m/k)v2 + x2 ??

Thread starter nchin
Start date Dec 19, 2012
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Algebra Manipulation

In summary, an equation is a mathematical statement that shows the relationship between quantities. Algebra manipulation is the process of changing the form of an algebraic expression to make it easier to solve. It is important to learn how to manipulate equations in algebra because it allows for solving complex problems and understanding relationships between variables. Common techniques used in algebra manipulation include combining like terms, using the distributive property, and factoring expressions. To improve skills in manipulating equations, practice and seeking help from a tutor or teacher are recommended.

Dec 19, 2012

nchin

how does

1/2kx² = 1/2mv² + 1/2kx²

become

x = (m/k)v² + x² ??

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Dec 19, 2012

RTW69

It doesn't. It becomes sqrt((m/k)v² + x²)

1. What is an equation?

An equation is a mathematical statement that shows the relationship between two or more quantities. It consists of two sides, the left side and the right side, separated by an equal (=) sign.

2. What is algebra manipulation?

Algebra manipulation is the process of changing the form of an algebraic expression to make it easier to solve or understand. This can include simplifying, factoring, expanding, and rearranging equations.

3. Why is it important to learn how to manipulate equations in algebra?

Manipulating equations in algebra is important because it allows us to solve complex problems and find unknown values. It also helps us to understand the relationships between different variables and how they affect each other.

4. What are some common techniques used in algebra manipulation?

Some common techniques used in algebra manipulation include combining like terms, using the distributive property, solving equations using inverse operations, and factoring expressions.

5. How can I improve my skills in manipulating equations in algebra?

The best way to improve your skills in manipulating equations in algebra is through practice. Make sure to understand the basic rules and properties of algebra, and then practice solving a variety of problems. Additionally, seeking help from a tutor or teacher can also be beneficial.