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      Question

      What is the nature of the roots of 3xΒ² + 6x – 5 = 0

      ?
      A There are no real roots. Correct Answer Incorrect Answer
      B The roots are real and equal. Correct Answer Incorrect Answer
      C The roots are real and distinct. Correct Answer Incorrect Answer
      D The roots are real and more than 2. Correct Answer Incorrect Answer

      Solution

      ATQ, To determine the nature of the roots, use the discriminant formula: Ξ”=b^2βˆ’ 4ac Given: a=3, b=6, c=βˆ’5 Calculate the discriminant: Ξ”=6^2 βˆ’4(3)(βˆ’5)=36+60=96 Since Ξ” >0, the roots are real and distinct. Answer: Option 3. The roots are real and distinct.

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