Concept Check Math 117 - of the other The criterion that...

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1. If you are looking at a graph of a quadratic equation, how do you determine where the solutions are? You have three potential cases: 1) the graph cuts the x-axis at two distinct points. 2) The graph has a single point where it touches the x-axis 3) the graph never touches the x-axis In case (1), the equation has two distinct, real roots. In case (2), the equation has a repeated, real root. In case (3), the equation has a pair of complex roots, one of which is the complex conjugate
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Unformatted text preview: of the other. The criterion that establishes which of these situations obtains is called the discriminant, and it is the term inside the square root of the quadratic formula for an x² + b x + c = 0: b² - 4 a c If the discriminant is positive, the equation has two real, distinct roots. If the discriminant is zero, the equation has two repeated roots. If it is negative, the equation has two complex conjugate roots....
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This note was uploaded on 07/24/2010 for the course CRIMINAL J 235 taught by Professor Strange during the Spring '10 term at University of Phoenix.

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