Final answer:
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