For how many integer values of does the equation have no real roots?

Answer and explanation

Correct answer: A. 5

  1. Step 1: For a quadratic equation to possess no real roots, its discriminant must be strictly negative: .
  2. Step 2: Substitute coefficients , , and : . The roots of are , giving interval .
  3. Step 3: Count the integers in the open interval : , which yields exactly integer values.
Answer
5.

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