MathDB
Triviel Quadratics

Source: 2022 AMC 10B #7 / 2022 AMC 12B #4

November 17, 2022
AMCAMC 10quadratics2022 AMC 10B2022 AMC2022 AMC 12BAMC 12

Problem Statement

For how many values of the constant kk will the polynomial x2+kx+36x^{2}+kx+36 have two distinct integer roots?
<spanclass=′latex−bold′>(A)</span>6<spanclass=′latex−bold′>(B)</span>8<spanclass=′latex−bold′>(C)</span>9<spanclass=′latex−bold′>(D)</span>14<spanclass=′latex−bold′>(E)</span>16<span class='latex-bold'>(A) </span>6 \qquad <span class='latex-bold'>(B) </span>8 \qquad <span class='latex-bold'>(C) </span>9 \qquad <span class='latex-bold'>(D) </span>14 \qquad <span class='latex-bold'>(E) </span>16
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