1955 AHSME Problems/Problem 12
Contents
[hide]Problem
The solution of is:
Solution
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
See Also
See Also
1955 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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