Math  /  Algebra

QuestionSolve for mm in the equation: 2m1+2m+12=0\sqrt{2 m-1}+\sqrt{2 m+1}-2=0.

Studdy Solution
Check the solution m=711m =7 - \sqrt{11} in the original equation.
(711)+(711)+=0\sqrt{(7 - \sqrt{11})-} + \sqrt{(7 - \sqrt{11})+} - =0This simplifies to = =, which is true. Therefore, m=711m =7 - \sqrt{11} is a solution.
The value of mm that satisfies the given equation is m=711m =7 - \sqrt{11}.

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