Question

solve for s.
$s^2 + 11s + 24 = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
$s = $
save answer

Explanation:

Step1: Factor the quadratic expression

We find two numbers that multiply to 24 and add to 11: 3 and 8.
$s^2 + 11s + 24 = (s+3)(s+8) = 0$

Step2: Set each factor to zero

Solve for $s$ in each equation.
$s+3=0$ or $s+8=0$

Step3: Solve for s

Isolate $s$ in each equation.
$s = -3$ or $s = -8$

Answer:

$-3, -8$