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The equation has no real roots.
The smallest integer value can take is:

Class 10The Quadratic FormulaAlgebra — Quadratics
  • A4
  • B5
  • C9
  • D6

Step-by-Step Solution

No real roots means D < 0: 36 - 8k < 0 => 8k > 36 => k > 4.5. The smallest integer greater than 4.5 is 5. (k = 4 gives D = 4 > 0, which does have real roots.)
Answer: B) 5

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