Question

solve for s.
$s^{2}-16s + 15 = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form.
if there are multiple solutions, separate them with commas.
$s = $

Explanation:

Step1: Factor the quadratic equation

We find two numbers that multiply to $15$ and add to $-16$. These numbers are $-1$ and $-15$, so:
$s^2 - 16s + 15 = (s - 1)(s - 15) = 0$

Step2: Set each factor to zero

For the product to be zero, each factor can be zero:
$s - 1 = 0$ or $s - 15 = 0$

Step3: Solve for $s$

Solve each linear equation:
$s = 1$ or $s = 15$

Answer:

$1, 15$