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Details may vary depending on the equation. Quite often, you have to square both sides of the equation, to get rid of the radical sign. It may be necessary to rearrange the equation before doing this, after doing this, or both. Squaring both sides of the equation may introduce "extraneous" roots (solutions), that is, solutions that are not part of the original equation, so you have to check each solution of the second equation, to see whether it is also a solution of the first equation.

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Q: What are the steps to solving a radical equation?
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What are the first two steps in solving the radical equation square root of x-6 plus 512?

There is no equality symbol in the question and so no equation!


In general when solving a radical equation should you first isolate the radical and then both sides?

It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.


When solving a radical equation you should first isolate the radical and then?

It often helps to square both sides of the equation (or raise to some other power, such as to the power 3, if it's a cubic root).Please note that doing this may introduce additional solutions, which are not part of the original equation. When you square an equation (or raise it to some other power), you need to check whether any solutions you eventually get are also solutions of the original equation.


What property of the square root is essential in order to solve any radical equation involving a square root?

The property that is essential to solving radical equations is being able to do the opposite function to the radical and to the other side of the equation. This allows you to solve for the variable. For example, sqrt (x) = 125.11 [sqrt (x)]2 = (125.11)2 x = 15652.5121


What are the five steps of the logical plan used in solving word problems?

The answer is....... 1. read the problem 2. determine the unknowns and represent them 3. write an equation 4. solve the equation 5. answer the question

Related questions

What are the different steps in solvingradical equation?

The first step is produce the radical equation that needs solving.


What are the first two steps in solving the radical equation square root of x-6 plus 512?

There is no equality symbol in the question and so no equation!


When solving a radical equation you should first isolate the radical and then both sides?

Radical...Apex :)


What are the 4 steps to solving an equation?

The 1st step would be to give an example of the equation to be solved.


In general when solving a radical equation should you first isolate the radical and then both sides?

It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.


Can the five steps for solving rational equation be eliminated?

no. an individual step might be, but not all.


What are the four steps for solving a quadratic equation?

The 1st step would have been to show a particular quadratic equation in question.


How do you factor any equation?

That depends on the equation; you need to give some examples of what you want factored. There are four steps to solving an equation. Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation?


Can any steps to solving a rational equation be eliminated?

Yes, but it depends on your mathematical skills and confidence.


What are the steps on solving equations?

The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.


What are the four problem solving steps?

1. Given 2. Find 3. Equation 4. Solution


Can any of the steps in solving a rational equation be eliminated?

Each method of doing something has its own steps. Whether or not any steps can be eliminated will depend on how much [unnecessary] detail the steps go into.