1959 AHSME Problems/Problem 27

Revision as of 15:50, 16 January 2024 by Pengu14 (talk | contribs) (The solution was missing)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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