Math  /  Algebra

QuestionSolve the equation 5x8=x+2\sqrt{5 x-8}=\sqrt{x+2}. Find the value of xx.

Studdy Solution
Further simplify both sides of the equation.
4.5=4.5\sqrt{4.5} = \sqrt{4.5}Since both sides of the equation are equal, x=2.5x =2.5 is indeed a solution to the equation.
So, the solution to the equation 5x8=x+2\sqrt{5x-8}=\sqrt{x+2} is x=2.5x =2.5.

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