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How do I solve the square root function of 2m-6=3m-14

Sagot :

KatelynRuckert17
Let's solve your equation step-by-step .2m−6=3m−14
Step 1: Subtract 3m from both sides.2m−6−3m=3m−14−3m−m−6=−14
Step 2: Add 6 to both sides.−m−6+6=−14+6−m=−8
Step 3: Divide both sides by -1.−m−1=−8−1m=8
Answer:m=8
1. Isolate a square root on the left hand side. 
√2m-6=√3m-14

2. Eliminate the radical on the left hand side . Raise both sides to the second power
     (√2m-6)2 = (√3m-14)2

3. Solve the linear equation :     Rearranged equation
     m -8 = 0

     Add  8  to both sides
     m = 8

     A possible solution is :
     m = 8
4.Check that the solution is correct :     Original equation
     √2m-6 = √3m-14

     Plug in 8 for  m 
      √2•(8)-6 = √3•(8)-14

      Simplify
      √10 = 3.162
      Solution checks !!
     Solution is: 
      m = 8
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