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25 January, 01:28

What is the value of the discriminant b^2-4ac for the quatrain equation 0=-2x^2-3x+8, and what does it mean about the number of real solutions the equation has.

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Answers (2)
  1. 25 January, 01:52
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    The quadratic equation you provided has

    a = - 2 b = - 3 c = 8

    so the discriminant b²-4ac is ...

    ... b² - 4ac = (-3) ² - 4 (-2) (8) = 9 + 64 = 73

    The discriminant is positive, so there are two real solutions to the given equation.
  2. 25 January, 02:26
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    Answer

    discriminant = 73

    The discriminant determines whether the equation has real root or it has imaginary roots. The equation has 2 real solutions

    Explanation

    0=-2x²-3x+8 ⇒ - 2x² - 3x + 8 = 0

    Now the equation resembles the general quadratic formula ax² + bx + c = 0

    The discriminant is b^2-4ac = (-3) ² - (4 * - 2 * 8)

    = 9 + 64

    = 73

    The discriminant determines whether the equation has real root or it has imaginary roots. When b^2-4ac is equal to positive number the equation has a real roots or solutions, when negative, then the solutions are imaginary numbers.
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