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

Step-by-step 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

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: