A Quadratic With a Positive Integer Root

★ 5/10Quadratic Equationsnumber theoryVieta's Formulas

Problem

Find every positive integer kk for which the equation

x2−34x+(34k−1)=0x^2 - 34x + (34k - 1) = 0

has at least one positive integer root.

Answer

Solution

Difficulty5/10
TopicsQuadratic Equations, number theory, Vieta's Formulas

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