Solving Radical Equations

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

To isolate a radical, you can move all other terms to the opposite side of the equation, leaving the radical alone on one side.

Multiply both sides by 4 to eliminate the fraction.

x = 4.

Squaring both sides of an equation can eliminate the radical, but it may introduce extraneous solutions.

x = 13/2.

Check for extraneous solutions by substituting back into the original equation.

x = 4 or x = 0 (check for extraneous solutions).

An extraneous solution is a solution that does not satisfy the original equation after checking.

Graph the functions y = ext{sqrt}(3x + 2) and y = 4, and find their intersection points.