Question

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Answer 1

Answer:

F. $x=\frac{5}{2}$

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: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define

$x^2 - 5x + \frac{25}{4} = 0$

Step 2: Identify Variables

$a = 1\\b = -5\\c = \frac{25}{4}$

Step 3: Find roots

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