Answer:
t = 4, 9
Step-by-step explanation:
Hi there!
f(t) = t² - 13t + 36
Let f(t) = 0:
0 = t² - 13t + 36
Factor the equation:
0 = t² - 4t - 9t + 36
0 = t(t - 4) - 9(t - 4)
0 = (t - 9)(t - 4)
The zero-product property states that if the product of two numbers is zero, then one of the numbers is equal to zero. Therefore, either (t - 9) or (t - 4) is equal to zero:
t - 9 = 0
t = 9
t - 4 = 0
t = 4
Therefore, the zeros of the function are 4 and 9.
I hope this helps!
