Answer:
[tex]x=-3\pm\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
Alg I
- Standard Form: ax² + bx + c = 0
- Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
Step 1: Define
x² + 6x + 4 = 0
a = 1
b = 6
c = 4
Step 2: Find x
- Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(4)} }{2(1)}[/tex]
- Evaluate: [tex]x=\frac{-6\pm\sqrt{36-4(1)(4)} }{2(1)}[/tex]
- Multiply: [tex]x=\frac{-6\pm\sqrt{36-16} }{2}[/tex]
- Subtract: [tex]x=\frac{-6\pm\sqrt{20} }{2}[/tex]
- Simplify: [tex]x=\frac{-6\pm2\sqrt{5} }{2}[/tex]
- Factor: [tex]x=\frac{2(-3\pm\sqrt{5}) }{2}[/tex]
- Simplify: [tex]x=-3\pm\sqrt{5}[/tex]
