Solve for T²+M given T+M=6 and T-M=2

Published on August 25, 2024

Question

Answer

Let’s solve this problem step by step:
  1. We are given three equations:


  2. Our goal is to find the value of .
  3. From the first two equations, we can solve for T and M:
    Adding the equations:


  4. Now that we know T, we can substitute it into either of the first two equations to find M:
    Using :

  5. Now we have T = 4 and M = 2.
  6. We can now calculate :
Therefore, .
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