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Solve for dd.\newline9d4=5d\sqrt{9d - 4} = \sqrt{5d}\newlined=d = _____

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Q. Solve for dd.\newline9d4=5d\sqrt{9d - 4} = \sqrt{5d}\newlined=d = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(9d4)2=(5d)2(\sqrt{9d − 4})^2 = (\sqrt{5d})^2\newline9d4=5d9d − 4 = 5d
  2. Subtract to combine terms: Subtract 5d5d from both sides to get all the dd terms on one side.\newline9d5d4=5d5d9d - 5d - 4 = 5d - 5d\newline4d4=04d - 4 = 0
  3. Add to isolate term: Add 44 to both sides to isolate the term with dd.\newline4d4+4=0+44d - 4 + 4 = 0 + 4\newline4d=44d = 4
  4. Divide to solve for d: Divide both sides by 44 to solve for d.\newline4d4=44\frac{4d}{4} = \frac{4}{4}\newlined=1d = 1

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