Math  /  Algebra

QuestionSolve the equation 2x3=x22x - 3 = |x - 2|.

Studdy Solution
Now, we need to check if the solution x=53x = \frac{5}{3} satisfies the condition x2<0x -2 <0. If it does not, then it is not a valid solution.
532<0\frac{5}{3} -2 <0This is true, so x=53x = \frac{5}{3} is a solution.
The solution to the equation 2x3=x22x -3 = |x -2| is x=53x = \frac{5}{3}.

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