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Difficulty:
85%
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Question Stats:
45% (02:19) correct
55%
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wrong
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For how many integers \(k\) does the equation \(x^2+kx=750\) have two integer roots whose sum is greater than 5?
(A) 6
(B) 7
(C) 10
(D) 12
(E) 14
(A) 6
(B) 7
(C) 10
(D) 12
(E) 14
19 Aug 2026, 13:24
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Wonderful! You could also reason that there are 8 pairs of divisors , and thus 8 possible sums . We reject the one pair (30*25 ) that produces a sum of only 5, giving us 7 possible values of k.
