__Category__: Algebra"Published in Newark, California, USA"

Find the roots of the equation for

__Solution__:

Consider the given equation above

Square both sides of the equation to remove the radical sign at the right side of the equation, we have

Equate each factor to zero in order to solve for the roots.

If

then

If

then

Next, we need to check and find out if the roots are real or extraneous by substituting the values of x to the given equation as follows:

If

then

Since both sides of the equation are equal, then x = -1 is a root of the equation.

If

then

Since both sides of the equation are also equal, then x = -2 is also a root of the equation.

Therefore, the roots of the equation are

**-1**and

**-2**.