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Solve for tt.\newline3t=10+2t\sqrt{3t} = \sqrt{10 + 2t}\newlinet=t = _____

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Full solution

Q. Solve for tt.\newline3t=10+2t\sqrt{3t} = \sqrt{10 + 2t}\newlinet=t = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(3t)2=(10+2t)2(\sqrt{3t})^2 = (\sqrt{10 + 2t})^2\newline3t=10+2t3t = 10 + 2t
  2. Subtract to isolate variable: Subtract 2t2t from both sides to isolate the variable tt on one side of the equation.\newline3t−2t=10+2t−2t3t - 2t = 10 + 2t - 2t\newlinet=10t = 10

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