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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.

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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.


Why do you isolate the variable on one side the the equation when solving a linear equation?

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.


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!


5x-10y plus -40 Can you solve for y?

Solving for y implies that there is an equation that needs to be rearranged to isolate y from all other variables and numbers. But there is no equation here.


What are the steps to solving a radical equation?

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.

Related Questions

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

In general, when solving a radical equation, you should first isolate the radical on one side of the equation. Once the radical is isolated, you can then square both sides of the equation to eliminate the radical. After squaring, it’s important to check for extraneous solutions, as squaring both sides can introduce solutions that do not satisfy the original equation.


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

Radical...Apex :)


What are the different steps in solvingradical equation?

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


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 do you call to an equation that contains radical with variable in the radicand?

An equation that contains a radical with a variable in the radicand is called a radical equation. These equations typically involve square roots, cube roots, or higher roots, and the variable is located inside the radical symbol. Solving radical equations often requires isolating the radical and then raising both sides of the equation to an appropriate power to eliminate the radical.


What is the first step to solving for x?

That depends on the specific equation. The general idea is to "isolate" the variable, for example "x", manipulating the equation in such a way that all terms that contain "x" are on the left, and all terms that don't contain it, are on the right.


What is a radical equation?

They are actually to the one half power. You can take a factor in the radical and sqrt it and put in on the outside... Ex. sqrt(28) = sqrt(4 * 7) = sqrt(22 * 7) = 2sqrt(7) sqrt(28) = 2 * sqrt(7)


How is solving the equation using algebraic operations related to solving the equation using undoing?

Solving an equation using algebraic operations involves manipulating the equation through addition, subtraction, multiplication, or division to isolate the variable. This process is closely related to the concept of "undoing," where each operation is reversed to simplify the equation step by step. For example, if a variable is multiplied by a number, you would "undo" that by dividing by the same number. Both methods ultimately aim to isolate the variable and find its value.


Why do you isolate the variable on one side the the equation when solving a linear equation?

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.


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!


What is the first step in solving x-5?

The first step in solving the equation ( x - 5 = 0 ) is to isolate the variable ( x ). You can do this by adding 5 to both sides of the equation. This results in ( x = 5 ), which provides the solution.


What is the first step to solving an equation?

The first step to solving an equation is to simplify both sides as much as possible. This includes combining like terms and eliminating any unnecessary parentheses. Once the equation is simplified, you can then isolate the variable by performing inverse operations to both sides of the equation.