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Solve for uu.\newline9u=54u\sqrt{\,-9u} = \sqrt{\,5 - 4u}\newlineu=____u = \,\_\_\_\_

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Q. Solve for uu.\newline9u=54u\sqrt{\,-9u} = \sqrt{\,5 - 4u}\newlineu=____u = \,\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(9u)2=(54u)2(\sqrt{-9u})^2 = (\sqrt{5 - 4u})^2\newline9u=54u-9u = 5 - 4u
  2. Add uu terms: Add 4u4u to both sides of the equation to bring all the uu terms to one side.\newline9u+4u=54u+4u-9u + 4u = 5 - 4u + 4u\newline5u=5-5u = 5
  3. Divide by 5-5: Divide both sides by 5-5 to solve for u.\newline5u/5=5/5-5u / -5 = 5 / -5\newlineu=1u = -1

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