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 ax² + bx + c = 0: b²  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 xaxis 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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 Spring '10
 a.b.
 Quadratic equation, Complex number

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