Difference between revisions of "1955 AHSME Problems/Problem 12"
Awesomechoco (talk | contribs) (→Solution 1) |
Awesomechoco (talk | contribs) (→Solution 2) |
||
Line 33: | Line 33: | ||
Solution by awesomechoco | Solution by awesomechoco | ||
− | |||
− | |||
==See Also== | ==See Also== |
Revision as of 01:39, 10 July 2018
Contents
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
See Also
See Also
1955 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.