Answer:
[tex]x=\pm2i\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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
- Substitute: [tex]x=\frac{-0\pm\sqrt{0^2-4(1)(20)} }{2(1)}[/tex]
- Exponents: [tex]x=\frac{-0\pm\sqrt{0-4(1)(20)} }{2(1)}[/tex]
- Multiply: [tex]x=\frac{-0\pm\sqrt{0-80} }{2}[/tex]
- Subtract: [tex]x=\frac{\pm\sqrt{-80} }{2}[/tex]
- Factor: [tex]x=\frac{\pm\sqrt{-1} \sqrt{80} }{2}[/tex]
- Simplify: [tex]x=\frac{\pm4i\sqrt{5} }{2}[/tex]
- Divide: [tex]x=\pm2i\sqrt{5}[/tex]
