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Friday, April 26, 2013

Solving Radical Equations, 3

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