Question

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

Answer 1

x = ±5i

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS

Alg II

• √-1 is imaginary number i

Explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

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