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    Question

    What is the nature of the roots of 3x² + 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: Δ=b^2− 4ac Given: a=3, b=6, c=−5 Calculate the discriminant: Δ=6^2 −4(3)(−5)=36+60=96 Since Δ >0, the roots are real and distinct. Answer: Option 3. The roots are real and distinct.

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