Respuesta :

Space

Answer:

x = ±2√15

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Multiple roots/solutions

Step-by-step explanation:

Step 1: Define

x² = 60

Step 2: Solve for x

  1. Square root both sides:                    x = ±√60
  2. Simplify:                                              x = ±2√15

Step 3: Check

Plug in both solutions of x to verify it's a solution.

x = 2√15

  1. Substitute:                    (2√15)² = 60
  2. Evaluate:                       4 · 15 = 60
  3. Multiply:                        60 = 60

x = -2√15

  1. Substitute:                    (-2√15)² = 60
  2. Evaluate:                       4 · 15 = 60
  3. Multiply:                        60 = 60

Here we see that both solutions do indeed work.

∴ x = ±2√15 are both solutions to the equation.

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