Complex Quadratic

Complex quadratic refers to quadratic equations with complex (non-real) solutions. A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. When the discriminant (b^2 - 4ac) of a quadratic equation is negative, the solutions are complex numbers. For example, the quadratic equation x^2 + 4x + 5 = 0 has complex solutions: x = (-4 ± sqrt(4^2 - 4(1)(5))) / (2(1)) = (-4 ± sqrt(-24)) / 2 = (-4 ± 2i√6) / 2 = -2 ± i√6, where i is the imaginary unit. So, the complex solutions of the quadratic equation are -2 + i√6 and -2 - i√6. View Solution Guide

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