Question

Solve x^2- 2x - 4 = 0

Answer 1

yes

Explanation:

Answer 2

`\displaystyle x= 1\pm √(5)`

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:
  `\displaystyle x=(-b\pm√(b^2-4ac) )/(2a)`

Explanation:

Step 1: Define

x² - 2x - 4 = 0

Step 2: Identify Variables

a = 1

b = -2

c = -4

Step 3: Solve for x

1. Substitute [QF]:
   `\displaystyle x=(2\pm√((-2)^2-4(1)(-4)) )/(2(1))`
2. Exponents:
   `\displaystyle x=(2\pm√(4-4(1)(-4)) )/(2(1))`
3. Multiply:
   `\displaystyle x=(2\pm√(4+16) )/(2)`
4. Add:
   `\displaystyle x=(2\pm√(20) )/(2)`
5. Simplify:
   `\displaystyle x=(2\pm 2√(5) )/(2)`
6. Factor:
   `\displaystyle x=(2(1\pm √(5)) )/(2)`
7. Divide:
   `\displaystyle x= 1\pm √(5)`