Solve 2x2 – 3x + 6 = 0.

3 ±i√39

      4

Step-by-step explanation:

The coefficients of this quadratic equation are a = 2, b = -3 and c = 6.  Thus, the discriminant is b^2 - 4(a)(c), or (-3)^2 - 4(2)(6), or 9 - 48, or -39.

Thus, the roots are:

      -(-3) ± i√39           3 ±i√39

x =  =  

            2(2)                        4

This corresponds to the first of the four given answers.

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step-by-step explanation: