Final answer:
To find the solutions to the equation f(x) = 8x² - 800, use the quadratic formula.
Step-by-step explanation:
To find the solutions to the equation f(x) = 8x² - 800, we need to set the equation equal to zero and solve for x. So, we have the equation 8x² - 800 = 0. To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values from our equation, a = 8, b = 0, and c = -800, we can simplify and solve for x:
x = (-0 ± √(0² - 4(8)(-800))) / (2(8))
After simplifying further, we get x = ±20.