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Thursday, March 14, 2013

Solving Radical Equations, 2

Category: Algebra

"Published in Newark, California, USA"

Find the roots of the equation for



Solution:

In solving the radical equations, you have to be very careful and write down the equations very well because the roots of the radical equations can be real, extraneous, or both. Anyway, consider the given equation above



Transpose either one of the term to the right side of the equation



Divide both sides of the equation by their common factor which is (2x - 1) as follows



Square the both sides of the equation to eliminate the radical signs





Expand the equation above and solve for the value of x as follows









Next, substitute x = 0 to the given equation, we have

















Since the root is not satisfied to the given equation because  both sides of the equation are not equal, then the root of the equation is extraneous. NO ANSWER for this problem.