1955 AHSME Problems/Problem 12
Contents
[hide]Problem
The solution of is:
Solution 1
First, square both sides. This gives us
Then, adding to both sides gives us
After that, adding to both sides will give us
Next, we divide both sides by 2 which gives us
Finally, solving the equation, we get
Plugging 1 and 2 into the original equation, , we see that when
the equation is true. On the other hand, we note that when
the equation is false. Therefore the answer is
Solution by awesomechoco
Solution 2
See Also
See Also
1955 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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