Solving Radical Equations

Isolate the variable

Isolate the radical

Add a constant to both sides

Multiply both sides by a constant

By plotting both sides of the equation and finding their intersection

By plotting only the left side of the equation

By checking if the graph intersects the x-axis

By checking if the graph intersects the y-axis

x = 6

x = 4

x = 16

x = 10

x = 0

x = 4

x = 2

x = 1

To simplify the equation

To eliminate the variable

To eliminate the radical

To isolate the constant

x = 5 and x = 14

x = 3 and x = 11

x = 5 and x = 11

x = 3 and x = 14

Because they are easier to solve

Because they simplify the equation

Because they might not satisfy the original equation

Because they are always correct

A solution that satisfies the equation

A solution that does not satisfy the original equation

A solution that is always correct

A solution that is always incorrect

By showing all possible solutions

By showing only the correct solutions

By showing intersections that do not satisfy the equation

By showing the graph of the equation

Multiply the solution by a constant

Graph the solution

Add a constant to the solution

Check the solution by substituting back into the original equation