-x^2 = -36 Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work.

x = ±6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra II

Extraneous solutions and multiple answers/roots

Step-by-step explanation:

Step 1: Define

-x² = -36

Step 2: Solve for x

Divide -1 on both sides:                         x² = 36Square root both sides:                         x = ±6

Step 3: Check

Plug in x to verify it's a solution.

Substitute in -6:                    -(-6)² = -36Exponents:                           -(36) = -36Multiply:                                -36 = -36Substitute in 6:                     -(6)² = -36Exponents:                           -(36) = -36Multiply:                                -36 = -36

Here we see that both -6 and 6 do indeed work as solutions.

∴ x = ±6 are both solutions to the equation.