Answer:
C.
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
Step-by-step explanation:
Step 1: Define
x² - 5x + 7 = 0
Step 2: Identify Variables
a = 1
b = -5
c = 7
Step 3: Find solutions
- Substitute [Quad Formula]: [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(7)} }{2(1)}[/tex]
- Evaluate Exponents: [tex]x=\frac{5\pm\sqrt{25-4(1)(7)} }{2(1)}[/tex]
- Evaluate Multiplication: [tex]x=\frac{5\pm\sqrt{25-28} }{2}[/tex]
- Evaluate Subtraction: [tex]x=\frac{5\pm\sqrt{-3} }{2}[/tex]
- Factor: [tex]x=\frac{5\pm\sqrt{-1} \sqrt{3} }{2}[/tex]
- Simplify: [tex]x=\frac{5\pm i\sqrt{3} }{2}[/tex]
