Question

Use the quadratic formula to solve for x. 4x2 +9x-1=0​

Answer 1

`x=(-9\pm√(65) )/(8)`

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:
  `x=(-b\pm√(b^2-4ac) )/(2a)`

Explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

1. Substitute:
   `x=(-9\pm√(9^2-4(4)(-1)) )/(2(4))`
2. Exponents:
   `x=(-9\pm√(81-4(4)(-1)) )/(2(4))`
3. Multiply:
   `x=(-9\pm√(81-16) )/(8)`
4. Subtract:
   `x=(-9\pm√(65) )/(8)`