Question

What are the zeros of the function f(x) = x4 − x2 − 2?

Answer 1

The zeros of the function f(x) = x⁴− x² − 2 are  ±√2 or x = ±i option third positive or negative square root of 2,  ±i is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a function:

$\rm f\left(x\right)=x^4-x^2-2$

Assume u = x²

$\rm =u^2-u-2$

$\rm =\left(u+1\right)\left(u-2\right)$

$\rm =\left(x^2+1\right)\left(x^2-2\right)$

x = ±√2  or  x² = -1 ⇒ x = ±i

Thus, the zeros of the function f(x) = x⁴− x² − 2 are  ±√2 or x = ±i option third positive or negative square root of 2,  ±i is correct.

Learn more about the complex number here:

brainly.com/question/10251853

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