What is the roots of f(x)=-x^2-6x-14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula:

Algebra II

Imaginary roots: √-1 = i

Step-by-step explanation:

Step 1: Define function

f(x) = -x² - 6x - 14

Step 2: Set up

Set equation equal to 0:                    -x² - 6x - 14 = 0Factor out -1:                                       -(x² + 6x + 14) = 0Divide both sides by -1:                      x² + 6x + 14 = 0

Step 3: Define variables

a = 1

b = 6

c = 14

Step 4: Find roots

Substitute:                              Exponents:                             Multiply:                                  Subtract:                                 Factor:                                    Simplify:                                  Factor:                                    Divide: