#1520 · Algebra · Quadratics

Rational roots of quadratic equation 2

Prove that the roots of the equation $ab c^{2} x^{2} + 3 a^{2} c x + b^{2} c x - 6 a^{2} - ab + 2 b^{2} = 0$ are rational.

~15 minProof · checked by AIdiscriminantrational roots

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 17 (part 2)

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