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17 October, 06:57

Create a quadratic equation that has complex solutions

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  1. 17 October, 09:01
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    x^2 + x + 2 = 0.

    Step-by-step explanation:

    The discriminant b^2 - 4ac is < 0 for complex roots.

    So we can choose appropriate values for a, b and c.

    Let b = 1, a = 1 and c = 2 so b^2 - 4ac = 1 - 4*1*2 = - 7.

    So our equation is:

    x^2 + x + 2 = 0.
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