Algebra II : Solving Radical Equations
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Example Questions
Example Question #111 : Solving And Graphing Radicals
If 
-3
1
-4
4
3
3
We will begin by adding 5 to both sides of the equation.
Next, let's square both sides to eliminate the radical.
Finally, we can solve this like a simple two-step equation. Subtract 3 from both sides of the equation.
Now, divide each side by 2.
Finally, check the solution to make sure that it results in a true statement.
Example Question #1666 : Mathematical Relationships And Basic Graphs
Solve for 
When working with radicals, a helpful step is to square both sides of an equation so that you can remove the radical sign and deal with a more classic linear or quadratic equation. But of course if you were to simply square both sides first here, you would still end up with radical signs, as were you to FOIL the left side you wouldn't eliminate the radicals. So a good first step is to add 
Now when you square both sides, you'll eliminate the radical on the right-hand side and yield:
Then when you subtract 
This factors to:
Which would seem to yield solutions of 
But if you plug in 
Example Question #1667 : Mathematical Relationships And Basic Graphs
Solve for 
No solution
To solve, first square both sides:
This gives us 2 potential answers:
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