How to Solve Simultaneous Equations Involving λ and m?

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To solve simultaneous equations involving λ and m, start by squaring both equations to eliminate square roots. Substitute λ^2 from Equation 1 into Equation 2 to express m in terms of n. The process involves eliminating common factors, but complications can arise, such as terms like (m + 1/2)λ that hinder straightforward elimination. Squaring Equation 2 leads to a more complex expression involving m^2 and λ^2. Careful manipulation of these equations is essential for finding a solution.
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Lumda λ = 1.42
i tried to make m the subject and substituting Eqn 1 with Eqn 2 but end up getting stucked here everytime..
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Try taking equations 1 and 2 from the OP and squaring each first. That gets rid of the square root.

You can solve Equation 1 for λ^2 and then substitute this into Eq. 2. You should then be able to solve for m in terms of n.

This is called eliminating the common factor.
 
ive tried,there is a (m+1/2)λ which makes my elimination of m isn't possible(at least for me)..
i tried squaring both sides for equation(2) which ends up with a m^2*λ^2 + mλ^2 ...
 

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