Difference between revisions of "1977 AHSME Problems/Problem 21"
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For how many values of the coefficient a do the equations <cmath>\begin{align*}x^2+ax+1=0 \\ x^2-x-a=0\end{align*}</cmath> have a common real solution? | For how many values of the coefficient a do the equations <cmath>\begin{align*}x^2+ax+1=0 \\ x^2-x-a=0\end{align*}</cmath> have a common real solution? | ||
| − | + | $\textbf{(A)}\ 0 \qquad | |
\textbf{(B)}\ 1 \qquad | \textbf{(B)}\ 1 \qquad | ||
\textbf{(C)}\ 2 \qquad | \textbf{(C)}\ 2 \qquad | ||
\textbf{(D)}\ 3 \qquad | \textbf{(D)}\ 3 \qquad | ||
| − | \textbf{(E)}\ \infty | + | \textbf{(E)}\ \infty |
Revision as of 06:07, 23 February 2023
Problem 21
For how many values of the coefficient a do the equations 
have a common real solution?
$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 1 \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ 3 \qquad \textbf{(E)}\ \infty
