Find two consecutive positive integers sum …
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Posted by Nivesh Rawat 6 years ago
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Yogita Ingle 6 years ago
Let the two consecutive integers be x and x + 1.
Then according to the question, we have:
x2 + (x + 1)2 = 365
⇒ x2 + x2 + 2x + 1 - 365 = 0
⇒ 2x2 + 2x - 364 = 0
⇒ 2(x2 + x - 182) = 0
⇒x2 + x - 182 = 0
⇒x2 + 14x - 13x - 182 = 0
⇒ (x + 14) (x - 13) = 0
⇒ x = -14 or x = 13
Since the integers are positive, so neglecting x = -14 , we have x = 12.
Hence 13, 14 are two consecutive positive integers.
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