1956 AHSME Problems/Problem 23
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Problem 23
About the equation , with
and
real constants,
we are told that the discriminant is zero. The roots are necessarily:
Solution
Plugging into the quadratic formula, we get
The discriminant is equal to 0, so this simplifies to
Because we are given that
is real,
is always rational and the answer is
See Also
1956 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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