15

Part of 2007 Hanoi Open Mathematics Competitions

Problems(2)

Source:

p = \overline{abc}

be the 3-digit prime number. Prove that the equation

ax^2 + bx + c = 0

has no rational roots.

Quadratic equation

Source: Hanoi Open Math. Olympiad 2007

p = \overline{abcd}

4

-digit prime number. Prove that the equation

ax^3+bx^2+cx+d=0

has no rational roots.

quadraticsalgebrapolynomialalgebra unsolved