1974 AHSME Problems/Problem 10
Solution
Expanding, we have , or
. For this quadratic not to have real roots, it must have a negative discriminant. Therefore,
. From here, we can easily see that the smallest integral value of
is
.
Expanding, we have , or
. For this quadratic not to have real roots, it must have a negative discriminant. Therefore,
. From here, we can easily see that the smallest integral value of
is
.
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