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To determine the types and number of roots of a quadratic equation, examine the discriminant: • If b² - 4ac > 0 then there are two real (unique) roots • If b² - 4ac = 0 then there is one (double) real root • If b² - 4ac < 0 then there are two imaginary roots In this case: f(x) = 2x3 – 5x2 – 6x + 4 • b² - 4ac = (-5)² - 4(2)(4) = -7 < 0 then there are two imaginary roots
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