Problem: The value(s) of for which the following pair of equations
may have a real common solution, are
Answer Choices:
A. 4 only
B.
C.
D. none of these
E. all y
Solution:
Graphing the circle of radius about the origin and the parabola with -intercept , it becomes apparent that they intersect only when . Alternately, we may subtract the second from the first equation to get or . For , but there is no real for .
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