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9966 [12]
3 years ago
8

5m²-11m-42=0 how do i answert this

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

x=-2, \frac{21}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u>Step 1: Define equation</u>

5m² - 11m - 42 = 0

<u>Step 2: Define variables</u>

a = 5

b = -11

c = -42

<u>Step 3: Find roots</u>

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