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REY [17]
3 years ago
8

-x^2 = -36

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

x = ±6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra II</u>

  • Extraneous solutions and multiple answers/roots

Step-by-step explanation:

<u>Step 1: Define</u>

-x² = -36

<u>Step 2: Solve for </u><em><u>x</u></em>

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

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

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

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

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

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