1967 AMC 12 Question 17
AMC12 · 1967 AMC 12
If $r_1$ and $r_2$ are the distinct real roots of $x^2+px+8=0,$ then it must follow that:
$\lvert r_1+r_2\rvert\gt4\sqrt2$
$\lvert r_1\rvert\gt3$ or $\lvert r_2\rvert\gt3$
$\lvert r_1\rvert\gt2$ and $\lvert r_2\rvert\gt2$
$r_1\lt0$ and $r_2\lt0$
$\lvert r_1+r_2\rvert\lt4\sqrt2$