The irrational equations or radical equations, are those with the unknown value under the radical sign.
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.
1. Isolated the radical:
2. Square both members:
3. Solve the equation:
The equation has the solution x = 2.
The equation has the solution x = 4.