Respuesta :

Space

Answer:

[tex]x=\pm2i\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

  • Imaginary Numbers: √-1  = i

Step-by-step explanation:

Step 1: Define Equation

x² + 20 = 0

Step 2: Identify Variables

a = 1

b = 0

c = 20

Step 3: Find roots x

  1. Substitute:                    [tex]x=\frac{-0\pm\sqrt{0^2-4(1)(20)} }{2(1)}[/tex]
  2. Exponents:                   [tex]x=\frac{-0\pm\sqrt{0-4(1)(20)} }{2(1)}[/tex]
  3. Multiply:                        [tex]x=\frac{-0\pm\sqrt{0-80} }{2}[/tex]
  4. Subtract:                       [tex]x=\frac{\pm\sqrt{-80} }{2}[/tex]
  5. Factor:                          [tex]x=\frac{\pm\sqrt{-1} \sqrt{80} }{2}[/tex]
  6. Simplify:                        [tex]x=\frac{\pm4i\sqrt{5} }{2}[/tex]
  7. Divide:                          [tex]x=\pm2i\sqrt{5}[/tex]

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