Difference between revisions of "1975 AHSME Problems/Problem 12"
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<cmath>ab=6x^2.</cmath> | <cmath>ab=6x^2.</cmath> | ||
Checking with the possible answers, along with <math>a-b=x</math> yields the only answer to be <math>\boxed{(\textbf{B}): a=3x\text{ or }a=-2x}.</math> | Checking with the possible answers, along with <math>a-b=x</math> yields the only answer to be <math>\boxed{(\textbf{B}): a=3x\text{ or }a=-2x}.</math> | ||
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+ | ==See Also== | ||
+ | {{AHSME box|year=1975|num-b=11|num-a=13}} | ||
+ | {{MAA Notice}} |
Latest revision as of 16:09, 19 January 2021
Problem 12
If , and , which of the following conclusions is correct?
Solution
We can factor into: Substituting yields: This is equal to: Checking with the possible answers, along with yields the only answer to be
See Also
1975 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.