Solve for : .

Answer and explanation

Correct answer: A.

.
  1. Step 1: Multiply both sides by the common denominator (noting ):
  2. Step 2: Expand and simplify: .
  3. Step 3: Solve for : .
  4. Step 4: Check restrictions: is not or , so it is a valid solution.
Answer
.
Why not the others: '' is an excluded domain value that makes the denominator zero; '' subtracts 3 from 5 incorrectly; 'No solution' mistakenly treats as extraneous.

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