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Solving Rational Equations

Solving Rational Equations 1.4 - Solution

arrow_back Return to Solving Rational Equations
Let's analyze the given equation. We are asked to check if either or are extraneous solutions. An extraneous solution is a solution that emerges from the process of solving the problem, but is not a valid solution of the equation. First, let's check if is a solution by substituting it into the equation.
Since the substitution of produces a true statement, the solution is a valid one. Next, Let's check
Notice that in this case we get that the denominator is which is impossible. Therefore, is not a valid solution, so it is an extraneous solution.