Use the discriminators to determine the number of solutions for the quadratic equation. Y=3x^2+7x+6 Show work thanks

Question

Use the discriminators to determine the number of solutions for the quadratic equation.
Y=3x^2+7x+6
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Autumn 1 week 2021-11-26T00:21:14+00:00 1 Answer 0

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    2021-11-26T00:22:58+00:00

    Answer:

    no real solutions

    Step-by-step explanation:

    For a quadratic in standard form : y = ax² + bx + c : a ≠ 0

    The value of the discriminant

    Δ = b² – 4ac informs about the nature of the solutions

    • If b² – 4ac > 0 then 2 real and distinct solutions

    • If b² – 4ac = 0 then 2 real equal solutions

    • If b² – 4ac < 0 then no real solutions

    For y = 3x² + 7x + 6

    with a = 3, b = 7, c = 6, then

    b² – 4ac = 7² – (4 × 3 × 6) = 49 – 72 = – 23

    Since b² – 4ac < 0 the equation has no real solutions

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