Menu Close

Find-the-values-for-b-and-c-given-that-the-quadratic-expression-x-2-bx-c-lt-0-x-1-lt-x-gt-3-




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

Leave a Reply

Your email address will not be published. Required fields are marked *