Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Exercise Set - Page 108: 155


In the quadratic formula, $ x=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ we have a radicand, $ b^{2}-4ac $, which may be positive, zero, or negative. The number of real solutions depends on its value, because a square root is taken from it. The expression is called the discriminant, and when it is - positive, there will be two distinct real solutions to the quadratic equation, - zero, there will be one real solution (double real zero) - negative, there will be no real solutions (the solutions are complex conjugates)

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