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    Question

    Solve: 3x² − 7x − 6 = 0

    A x = -3 or x = 5 Correct Answer Incorrect Answer
    B x = −2/3 or x = 3 Correct Answer Incorrect Answer
    C x = −2/5 or x = 3/5 Correct Answer Incorrect Answer
    D x = −1/3 or x = 2.5 Correct Answer Incorrect Answer

    Solution

    3x² − 7x − 6 = 0 Product = 3 × (−6) = −18; need two numbers with sum −7 and product −18 → −9 and 2. 3x² − 9x + 2x − 6 = 0 3x(x − 3) + 2(x − 3) = 0 (3x + 2)(x − 3) = 0 So x = −2/3 or x = 3

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