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Unformatted text preview: roots and one is the conjugate of the other. The basis that confirms this is called the discriminant, and this is the term inside the square root of the quadratic formula for ax + bx + c = 0: b - 4ac. Now 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. The (real) solutions are whenever the graph crosses the x-axis at y=0 This can also be determined mathematically by factoring: x^2+2x+1 (x+1)(x+1) The graph would cross at (0,-1)...
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This note was uploaded on 06/25/2010 for the course MAT117 MAT117 taught by Professor A.b. during the Spring '10 term at University of Phoenix.
- Spring '10