Solve $2x^2-6x+1=0$ and round both roots to 2 decimal places. (√28 ≈ 5.2915)

$x=\frac{6\pm \sqrt{36-8}}{4}=\frac{6\pm 5.2915}{4}$, giving 2.8229 → 2.82 and 0.1771 → 0.18. The digit after the second decimal decides: 2.8229 rounds DOWN to 2.82, while 0.1771 rounds UP to 0.18. Chopping instead of rounding gives 0.17, and rounding 2.8229 up gives 2.83.