Solving for Equality with Positive a and b

Thread starter tatoo5ma
Start date Sep 22, 2006
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In summary, the process for solving for equality with positive a and b involves isolating the variable on one side of the equation and simplifying the other side using the basic principles of algebra. This can be done by adding or subtracting the same value to both sides, multiplying or dividing both sides by the same value, or using properties such as the distributive property. You will know you have reached the solution when the variable is isolated on one side and the other side simplifies to a single number. If there are variables on both sides, you can still use algebraic principles to simplify the equation. It is possible to solve for equality with positive a and b using fractions, but it may be helpful to eliminate fractions first. Common mistakes to

Sep 22, 2006

tatoo5ma

hello everyone,

I have a problem, if anyone can get me started. Thanks

I have to show this equality knowing that a and b are positive and they do not euqal 0:

[tex](a^{2}+a^{\frac{4}{3}}b^{\frac{2}{3}})^{\frac{1}{2}} + (b^{2}+a^{\frac{2}{3}}b^{\frac{4}{3}})^{\frac{1}{2}} =(a^{\frac{2}{3}}+b^{\frac{2}{3}})^{\frac{3}{2}}[/tex]

now I have no idea where to start!

Last edited: Sep 23, 2006

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Sep 22, 2006

tatoo5ma

Anyone please?

Last edited: Sep 22, 2006

Sep 23, 2006

tatoo5ma

Hellooo?

FAQ: Solving for Equality with Positive a and b

1. What is the process for solving for equality with positive a and b?

The process for solving for equality with positive a and b involves isolating the variable on one side of the equation and simplifying the other side using the basic principles of algebra. This can be done by adding or subtracting the same value to both sides, multiplying or dividing both sides by the same value, or using properties such as the distributive property.

2. How do I know when I have reached the solution for equality with positive a and b?

You have reached the solution for equality with positive a and b when you have isolated the variable on one side of the equation and the other side simplifies to a single number. The value of the variable will be the solution to the equation and can be verified by plugging it back into the original equation.

3. What should I do if I encounter variables on both sides of the equation when solving for equality with positive a and b?

If you encounter variables on both sides of the equation, you can use the same principles of algebra to simplify the equation and isolate the variable on one side. This may involve combining like terms, using the distributive property, or factoring out common factors.

4. Can I solve for equality with positive a and b using fractions?

Yes, you can solve for equality with positive a and b using fractions. However, it may be helpful to first eliminate any fractions by multiplying both sides of the equation by the common denominator. This will make the equation easier to work with and may result in a simpler solution.

5. Are there any common mistakes to be aware of when solving for equality with positive a and b?

One common mistake when solving for equality with positive a and b is to forget to perform the same operation on both sides of the equation. This can lead to an incorrect solution. Another common mistake is to make a miscalculation or error when simplifying the equation, which can also result in an incorrect solution. It is important to double check your work and verify the solution by plugging it back into the original equation.