Answer:
[tex]x=\frac{-9\pm\sqrt{65} }{8}[/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]
Step-by-step explanation:
Step 1: Define
4x² + 9x - 1 = 0
Step 2: Define variables
a = 4
b = 9
c = -1
Step 3: Find roots
- Substitute: [tex]x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}[/tex]
- Exponents: [tex]x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}[/tex]
- Multiply: [tex]x=\frac{-9\pm\sqrt{81-16} }{8}[/tex]
- Subtract: [tex]x=\frac{-9\pm\sqrt{65} }{8}[/tex]
