Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □

x = ±5i

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Set function equal to 0:                    0 = -5x² - 125Factor out -5:                                     0 = -5(x² + 25)Divide both sides by -5:                    0 = x² + 25Subtract 25 on both sides:               -25 = x²Rewrite:                                              x² = -25Square root both sides:                     x = ±√-25Rewrite:                                              x = √-1 · ±√25Evaluate:                                             x = ±5i