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Alexxandr [17]
2 years ago
14

49w^2-4=0. Simplied fraction?

Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

Answer:

{-2/7, 2/7}

Step-by-step explanation:

Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.

49w^2-4=0 is the product of the sum and difference of two squares:

(7w - 2)(7w + 2) = 0

Setting each factor equal to zero and solving for w, we get:

{-2/7, 2/7} as the solutions.

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Answer:

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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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-4p + 9 = -5

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Subtract 9 on both sides:                     -4p = -14
  2. Divide -4 on both sides:                       p = 7/2

<u>Step 3: Check</u>

<em>Plug in p into the original equation to verify it's a solution.</em>

  1. Substitute in <em>p</em>:                    -4(7/2) + 9 = -5
  2. Multiply:                               -14 + 9 = -5
  3. Add:                                     -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

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