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    Question

    What is the nature of the roots of 3x┬▓ + 6x тАУ 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: ╬Ф=b^2тИТ 4ac Given: a=3, b=6, c=тИТ5 Calculate the discriminant: ╬Ф=6^2 тИТ4(3)(тИТ5)=36+60=96 Since ╬Ф >0, the roots are real and distinct. Answer: Option 3. The roots are real and distinct.

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