Question

Find the zeros of the function f(x) = x² - 2x - 5. Round values to the nearest hundredth (if

necessary).
Answer

Answer 1

The zeros are -1.449,0 and 3.449,0

Answer 2

The zeros of the function f(x) = x² - 2x - 5 are approximately x = 1 + √6 and x = 1 - √6.

Step-by-step explanation:

To find the zeros of the function f(x) = x² - 2x - 5, we need to solve the equation x² - 2x - 5 = 0. We can use the quadratic formula to find the values of x:

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

x = (2 ± √(4 + 20))/2

x = (2 ± √24)/2

x = (2 ± √(4 × 6))/2

x = (2 ± 2√6)/2

x = 1 ± √6

Therefore, the zeros of the function f(x) = x² - 2x - 5 are approximately x = 1 + √6 and x = 1 - √6.

Learn more about Finding zeros of a quadratic function