Only Integer Roots

★ 5/10Quadratic Equations Diophantine Equations number theory algebra Polynomials Vieta's Formulas

Problem

Determine all rational numbers $r$ such that the equation

rx^2 + (r+2)x + r - 1 = 0

has roots which are all integers.

Answer

Solution

Difficulty	5/10
Topics	Quadratic Equations, Diophantine Equations, number theory, algebra, Polynomials, Vieta's Formulas

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