What are the zeroes of f(x) = x² - 2x - 3?

Solution:

Given f(x) = x² - 2x - 3

Zeros of a function means values of x for which makes f(x) = 0

Since, it is a quadratic equation, we use quadratic formula to find roots

x = -b ± √(b² - 4ac) / 2a

Here, a = 1, b = -2, c = -3

x = -(-2) ± √((-2)² -4(-3)) / 2(1)

x = 2 ± √(4 + 12) / 2

x = 2 ± √16 /2

x = 2 ± 4 /2

x = -2/2, 6/2

x = -1, 3

Therefore, the zeros of the given function are -1, 3.

What are the zeroes of f(x) = x² - 2x - 3?

Summary:

The zeroes of f(x) = x² - 2x - 3 are -1, 3.