Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The smallest possible natural number n, for which the equation x 2 - nx + 2014 = 0 has integral roots, is
Text Solution
Verified by ExpertsThe correct answer is:
91
(91)
Sol. In x 2 - nx + 2014 = 0
and 
= 2014 Now,
= 2014 = 1 x 2014 or (-1) x (-2014)
= 2 x 1007 or (-2) x (-1007)
= 19 x 106 or (-19) x (-106)
= 38 x 53 or (-38) x (-53)
For least possible value, 
= 38 + 53 = 91
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