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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.