Find all real solutions to .

Answer and explanation

Correct answer: D. only

For : , and . True.
For : , while . Since , is an extraneous root.
  1. Step 1: Square both sides: .
  2. Step 2: Set to zero: .
  3. Step 3: Factor: or .
  4. Step 4: Test both candidates in the original equation:
Answer
only.
Why not the others: '' fails to discard the extraneous root from squaring; ' only' selects the invalid root; 'No real solution' overlooks the valid root .

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