Respuesta :

Space

Answer:

C.

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: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

  • Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

  1. Substitute [Quad Formula]:                    [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(7)} }{2(1)}[/tex]
  2. Evaluate Exponents:                               [tex]x=\frac{5\pm\sqrt{25-4(1)(7)} }{2(1)}[/tex]
  3. Evaluate Multiplication:                          [tex]x=\frac{5\pm\sqrt{25-28} }{2}[/tex]
  4. Evaluate Subtraction:                             [tex]x=\frac{5\pm\sqrt{-3} }{2}[/tex]
  5. Factor:                                                     [tex]x=\frac{5\pm\sqrt{-1} \sqrt{3} }{2}[/tex]
  6. Simplify:                                                  [tex]x=\frac{5\pm i\sqrt{3} }{2}[/tex]
jdaniyal2005

Answer:

C

Step-by-step explanation:

Otras preguntas