1959 AHSME Problems/Problem 27

Problem

Which one of the following is not true for the equation $ix^2-x+2i=0$ , where $i=\sqrt{-1}$ $\textbf{(A)}\ \text{The sum of the roots is 2} \qquad \\ \textbf{(B)}\ \text{The discriminant is 9}\qquad \\ \textbf{(C)}\ \text{The roots are imaginary}\qquad \\ \textbf{(D)}\ \text{The roots can be found using the quadratic formula}\qquad \\ \textbf{(E)}\ \text{The roots can be found by factoring, using imaginary numbers}$

Solution

The sum of the roots can be calculated by $-\frac{b}{a}$ . For this equation, that is $\frac{1}{i} = -i$ , which is not $2$ , so the solution is $\boxed{A}$ .

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1959 AHSME Problems/Problem 27

Problem

Solution