Question

Question

Find the zeros of the function f(x) = x² - 7x + 5. Round values to the nearest hundredth
(if necessary).

Answer 1

To find the zeros of the function f(x) = x² - 7x + 5, use the quadratic formula to solve the equation x² - 7x + 5 = 0. The zeros are approximately x ≈ 6.36 and x ≈ 0.64.

Step-by-step explanation:

To find the zeros of the function f(x) = x² - 7x + 5, we need to solve the equation x² - 7x + 5 = 0. We can use the quadratic formula, which states that x = (-b ± √(b² - 4ac))/(2a), where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = -7, and c = 5.

Substituting these values into the quadratic formula, we have:

x = (-(-7) ± √((-7)² - 4(1)(5)))/(2(1))

Simplifying further:

x = (7 ± √(49 - 20))/2

x = (7 ± √29)/2

So, the zeros of the function are approximately x ≈ 6.36 and x ≈ 0.64.

Learn more about Finding zeros of a quadratic function