Solve $7x^2+5x-2=0$. Which of its roots lies farther from 0 on the number line?

$x=\frac{-5\pm \sqrt{25+56}}{14}=\frac{-5\pm 9}{14}=\frac{4}{14}=\frac{2}{7}$ or $\frac{-14}{14}=-1$. Distance from 0 means size, ignoring sign: |−1| = 1 is bigger than $\frac{2}{7}$, so −1 lies farther out even though it is the smaller number.