Question

Which of the following is a solution to the equation 0=x^2+6x+4

Answer 1

`x=-3\pm√(5)`

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS

Alg I

• Standard Form: ax² + bx + c = 0
• Quadratic Formula:
  `x=(-b\pm√(b^2-4ac) )/(2a)`

Explanation:

Step 1: Define

x² + 6x + 4 = 0

a = 1

b = 6

c = 4

Step 2: Find x

1. Substitute:
   `x=(-6\pm√(6^2-4(1)(4)) )/(2(1))`
2. Evaluate:
   `x=(-6\pm√(36-4(1)(4)) )/(2(1))`
3. Multiply:
   `x=(-6\pm√(36-16) )/(2)`
4. Subtract:
   `x=(-6\pm√(20) )/(2)`
5. Simplify:
   `x=(-6\pm2√(5) )/(2)`
6. Factor:
   `x=(2(-3\pm√(5)) )/(2)`
7. Simplify:
   `x=-3\pm√(5)`