Ethan4565
Ethan4565 Ethan4565
  • 04-12-2018
  • Mathematics
contestada

4w^2+49=-28w solve for w

plz answer

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Ammimochi
Ammimochi Ammimochi
  • 04-12-2018

Move all terms to one side

4w^2 + 49 + 28w = 0

Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7

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

Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2

(2w + 7)^2 = 0

Take the square root of both sides

3w + 7 = 0

Subtract 7 from both sides

2w = -7

Divide both sides by 2

w = -7/2

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