Question

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Answer 1

F.
`x=(5)/(2)`

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

`x^2 - 5x + (25)/(4) = 0`

Step 2: Identify Variables

`a = 1\\b = -5\\c = (25)/(4)`

Step 3: Find roots

1. Substitute [QF]:
   `x=\frac{5\pm\sqrt{(-5)^2-4(1)((25)/(4) )} }{2(1)}`
2. Exponent:
   `x=\frac{5\pm\sqrt{25-4(1)((25)/(4) )} }{2(1)}`
3. Multiply:
   `x=(5\pm√(25-25) )/(2)`
4. Subtract:
   `x=(5\pm√(0) )/(2)`
5. Evaluate:
   `x=(5)/(2)`