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Solve for ss.\newline5s=6s−7\sqrt{5s} = \sqrt{6s - 7}\newlines=s = _____

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Full solution

Q. Solve for ss.\newline5s=6s−7\sqrt{5s} = \sqrt{6s - 7}\newlines=s = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(5s)2=(6s−7)2(\sqrt{5s})^2 = (\sqrt{6s - 7})^2\newline5s=6s−75s = 6s - 7
  2. Subtract 66s: Subtract 6s6s from both sides to get all terms with ss on one side.\newline5s−6s=6s−6s−75s - 6s = 6s - 6s - 7\newline−1s=−7-1s = -7
  3. Divide by −1-1: Divide both sides by −1-1 to solve for ss.\newline−1s/−1=−7/−1-1s / -1 = -7 / -1\newlines=7s = 7

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