Question

solve for n.
$n^2 - 10n + 16 = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form.
if there are multiple solutions, separate them with commas.
$n = \square$

Explanation:

Step1: Factor the quadratic equation

Find two numbers that multiply to 16 and add to -10. These numbers are -2 and -8.
$n^2 -10n +16=(n-2)(n-8)=0$

Step2: Set each factor to zero

Solve for $n$ in each factor equation.
$n-2=0$ or $n-8=0$

Step3: Solve for n

Isolate $n$ in each equation.
$n=2$ or $n=8$

Answer:

2, 8