Using the quadratic formula, solve $5x^2-8x+1=0$ correct to 2 decimal places. (√44 ≈ 6.6332)

$D=64-20=44$, so $x=\frac{8\pm \sqrt{44}}{10}=\frac{8\pm 6.6332}{10}$, giving 1.4633 → 1.46 and 0.1367 → 0.14. Dividing by $a=5$ rather than $2a=10$ gives 2.93 and 0.27; truncating 0.1367 gives 0.13. Both true roots are positive, since b is negative and c is positive.