Respuesta :

Space

Answer:

[tex]x=-2, \frac{21}{5}[/tex]

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]

Step-by-step explanation:

Step 1: Define equation

5m² - 11m - 42 = 0

Step 2: Define variables

a = 5

b = -11

c = -42

Step 3: Find roots

  1. Substitute:                    [tex]x=\frac{11\pm\sqrt{(-11)^2-4(5)(-42)} }{2(5)}[/tex]
  2. Exponents:                   [tex]x=\frac{11\pm\sqrt{121-4(5)(-42)} }{2(5)}[/tex]
  3. Multiply:                        [tex]x=\frac{11\pm\sqrt{121+840} }{10}[/tex]
  4. Add:                              [tex]x=\frac{11\pm\sqrt{961} }{10}[/tex]
  5. Evaluate:                      [tex]x=\frac{11\pm31 }{10}[/tex]
  6. Evaluate:                      [tex]x=-2, \frac{21}{5}[/tex]

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