Difference between revisions of "1959 AHSME Problems/Problem 27"
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| − | Which one of the following is not true for the equation<math>ix^2-x+2i=0</math>, where <math>i=\sqrt{-1}</math> <math>\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}</math> | + | Which one of the following is not true for the equation <math>ix^2-x+2i=0</math>, where <math>i=\sqrt{-1}</math> <math>\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}</math> |
Solution 1 | 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. | 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. | ||
Latest revision as of 15:50, 16 January 2024
Which one of the following is not true for the equation 
, where 
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.
