What are the zeroes of the function f(x) = x² – 2?

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To find the zeroes of the function f(x) = x² – 2, we need to determine the values of x that make the function equal to zero. This means we are looking for x such that:

f(x) = 0

Substituting into the equation, we get:

x² – 2 = 0

Now, we can solve for x by isolating it:

x² = 2

Next, we take the square root of both sides:

x = ±√2

This means there are two zeroes for the function:

  • x = √2 (approximately 1.414)
  • x = -√2 (approximately -1.414)

Therefore, the zeroes of the function f(x) = x² – 2 are √2 and -√2.

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