Question

What are the zeros of the function f(x) = x4 − 4x2 − 5?

Answer 1

See below ~

Explanation:

The function is :

f(x) = x⁴ - 4x² - 5

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Plotting on a graph :

⇒ Once plotted on graph, check where the line of the function intersects the x-axis

⇒ Those will be the zeros of the function

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Solution :

⇒ x = -2.236

⇒ x = 2.236

Answer 2

A graph shows zeros to be ±3. Factoring those out leaves the quadratic

(x-2)² +1

which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

Explanation: