7

Part of 2011 Hanoi Open Mathematics Competitions

Problems(2)

4a^2 + 3a + 5 is divisible by 6 (HOMC 2011 Q7)

Source:

How many positive integers a less than

100

4a^2 + 3a + 5

is divisible by

6

number theorydivisible

system x + y = 3 and x^4 - y^4 = 8x - y (HOMC 2011 J Q7)

Source:

(x, y)

of real numbers satisfying the system :

\begin{cases} x + y = 3 \\ x^4 - y^4 = 8x - y \end{cases}

algebrasystem of equations