1955 AHSME Problems/Problem 28
Problem 28
On the same set of axes are drawn the graph of 
and the graph of the equation obtained by replacing 
by 
in the given equation.
If 
and 
these two graphs intersect:
Solution
Replacing with 
we have the graph of 
We can plug in simple values of 
and 
for convenient drawing. For example, we can graph 
and 
We see that the parabolas intersect at 
which is on the y-axis.
The answer is 
See Also
| 1955 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 27 |
Followed by Problem 29 | |
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| All AHSME Problems and Solutions | ||
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