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Solve for nn.\newline5n=6n1\sqrt{5n} = \sqrt{6n - 1}\newlinen=n = _____

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Q. Solve for nn.\newline5n=6n1\sqrt{5n} = \sqrt{6n - 1}\newlinen=n = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(5n)2=(6n1)2(\sqrt{5n})^2 = (\sqrt{6n - 1})^2\newline5n=6n15n = 6n - 1
  2. Subtract 6n6n: Subtract 6n6n from both sides to get all nn terms on one side and constants on the other side.5n6n=15n - 6n = -1n=1-n = -1
  3. Multiply by 1-1: Multiply both sides by 1-1 to solve for nn.n×1=1×1-n \times -1 = -1 \times -1n=1n = 1

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