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Solve for kk.\newline10k=(5+9k)\sqrt{10k} = \sqrt{(5 + 9k)}\newlinek=k = _____\_\_\_\_\_

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Full solution

Q. Solve for kk.\newline10k=(5+9k)\sqrt{10k} = \sqrt{(5 + 9k)}\newlinek=k = _____\_\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(10k)2=(5+9k)2(\sqrt{10k})^2 = (\sqrt{5 + 9k})^2\newline10k=5+9k10k = 5 + 9k
  2. Subtract to isolate variable: Subtract 9k9k from both sides to isolate the variable term on one side.\newline10k−9k=5+9k−9k10k - 9k = 5 + 9k - 9k\newlinek=5k = 5

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