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| Getting Quadratic With Two Digits (Posted on 2007-09-07) |
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(A) x is a two digit positive integer with no leading zero and d is the product of its digits. Determine all possible values of x such that x2 – 10x – d is a perfect square.
(B) p is a two digit positive integer with no leading zero and c is the product of its digits. Determine all possible values of p such that p2 – 12p – c is a perfect square.
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Submitted by K Sengupta
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Rating: 2.3333 (3 votes)
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Solution:
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(Hide)
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(A) x = 10 and 13 are the only possible solution.
(B) p = 18 is the only possible solution.
EXPLANATION:
Refer to the solution submitted by Jer in this location.
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