BIOL 335 Lecture Notes - Lecture 14: Quadratic Equation, Unit Circle

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20 Oct 2017
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Recall that the roots of the quadratic equation are given by. Solve the equation ax2 + bx + c. Not every quadratic equation has real roots, that is, roots in the set of real numbers r. Some have both roots in the set of complex numbers, denoted by c. a complex number is of the form a + bi where a and b are real numbers, and i = 1. Note that the number 1 is not a real number. Complex numbers are sometimes plotted on what are called argand diagrams. For the complex number a + bi, this is basically just a plot of the point (a, b) in two dimensions. The distance the point lies from the origin, which by pythagoras" theorem is a2 + b2, is sometimes called the magnitude (or modulus) of the number. Not much knowledge is required about complex numbers in this course, though you should be aware of their existence.

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