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Which of the following options best describes the solution process and solution(s) for the quadratic equation? -2x2 + 3x + 4 = 7

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Answer:

Explanation:

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Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is

b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:

-3 ± i√15

x = -----------------

-4

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