MathDB
Absolute Value Quadratic Equation

Source:

June 13, 2009
quadraticsfunctionabsolute value

Problem Statement

We may say concerning the solution of |x|^2 \plus{} |x| \minus{} 6 \equal{} 0 that: (A)\ \text{there is only one root}\qquad (B)\ \text{the sum of the roots is }{\plus{}1}\qquad (C)\ \text{the sum of the roots is }{0}\qquad \\ (D)\ \text{the product of the roots is }{\plus{}4}\qquad (E)\ \text{the product of the roots is }{\minus{}6}