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

1 Answer

1 vote

Answer:

{-2/7, 2/7}

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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