Question Number 152960 by nitchyy last updated on 03/Sep/21 | ||
$$\:\: \\ $$ $$\:\:\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{for}\:\mathrm{b}\:\mathrm{and}\:\mathrm{c}\:\mathrm{given} \\ $$ $$\:\:\:\:\mathrm{that}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{expression} \\ $$ $$\:\:\:\:{x}^{\mathrm{2}} +\mathrm{b}{x}+\mathrm{c}<\mathrm{0}\: \\ $$ $$\:\:\:\:\left\{{x}:−\mathrm{1}<{x}>\mathrm{3}\right\} \\ $$ $$\: \\ $$ | ||
Answered by mr W last updated on 03/Sep/21 | ||
$${you}\:{mean}\:−\mathrm{1}<{x}<\mathrm{3}? \\ $$ $$−{b}=−\mathrm{1}+\mathrm{3}\:\Rightarrow{b}=−\mathrm{2} \\ $$ $${c}=\left(−\mathrm{1}\right)×\mathrm{3}\:\Rightarrow{c}=−\mathrm{3} \\ $$ | ||