119k views
1 vote
Find the zeros of the function. Enter the solutions from l

f(x) = (x + 2)² − 64
-
lesser x =
greater x =
You might need: Calculator
Show Calculator

User Kender
by
6.8k points

1 Answer

3 votes

Final answer:

To find the zeros of the function f(x) = (x + 2)² - 64, solve the equation (x + 2)² - 64 = 0. The zeros of the function are x = -10 and x = 6.


Step-by-step explanation:

The zeros of a function are the values of x for which f(x) = 0. To find the zeros of the function f(x) = (x + 2)² - 64, we need to solve the equation (x + 2)² - 64 = 0.

Expanding the equation, we get (x + 2)² - 64 = x² + 4x + 4 - 64 = x² + 4x - 60 = 0.

Factoring the quadratic equation, we have (x + 10)(x - 6) = 0. Therefore, the zeros of the function are x = -10 and x = 6.


Learn more about Finding zeros of a quadratic function

User Marcer
by
7.7k points