Radical Equations

The irrational equations or radical equations, are those with the unknown value under the radical sign.

Radical Equation

Solving Radical Equations

1. Isolate a radical in one of the two members and pass the other terms to the other member.

2. Square both members.

3. Solve the equation obtained.

4. Check if the solutions obtained verify the initial equation. Keep in mind that squaring an equation can only be done if another has the same solution as those that are given.

5. If the equation has several radicals, repeat the first two phases of the process to remove all of them.

Radical Equation

1. Isolated the radical:

Radical Equation

2. Square both members:

Radical Equation

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3. Solve the equation:

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Radical Equation Solution

4.Verify:

Verify the Solution

The equation has the solution x = 2.


Examples

Radical Equation

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Radical Equation Solution

The equation has the solution x = 4.


Radical Equation

Radical Operations

Radical Operations

Radical Operations

Radical Equation Solution

Radical Equation Solution


Radical Equation

Radical Operations

Radical Operationsn

Radical Operations

Radical Operations

Radical Equation Solution

Radical Equation Solution


 Radical Equation

Radical Operations

Radical Operations

Radical Operations

Radical Operations

Radical Operations

Radical Operations

Radical Operations

Radical Equation Solution

Radical Equation Solution