The equation has two real solutions that differ by . What is the value of ?

Answer and explanation

Correct answer: C.

  1. Step 1: Let the solutions be and . Their sum is , so and .
  2. Step 2: The solutions are and .
  3. Step 3: The product of the solutions is , so .
Answer
.
Why not the others: gives a repeated root ; and are products of solutions that do not differ by or do not sum to .

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