Rational Equations Answers

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Answer:

No, the student is incorrect. When solving the equation, the algebraic solution found is a = –2. However, this value must be checked against the restrictions of the original equation. Substituting –2 into the denominators (a + 2) and (a^2 – 4) results in division by zero, which is undefined. Therefore, a = –2 is an extraneous solution, and the original rational equation actually has no solution.

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Which of the following did you include in your answer?

A
No, the student did not check the solution to the derived equation in the original equation.
B
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
C
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
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Option A
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Option B
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Option C
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Option D

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