SOLUTION: {{{1+3^""/x^""}}}{{{""=""}}}{{{28^""/x^2}}} solve by completing square method

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Question 1101649: solve by completing square method

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


Multiply through by x2



Multiply 3 by , get 
Square , get 
Add  to both sides:



Factor the left side:
Get LCD of 4 on the right side:



Write the left side as the square of a binomial since 
both factors are the same.
Multiply the 28 by the numerator 4 on the right side.



Finish combining the right side:



Take square roots of both sides, remembering ±
on the right side.





Use the + on the right



Subtract  from both sides:

 



  <-- that's one solution.

Go back to 



Use the - on the right



Subtract  from both sides:

 



  <-- that's the other solution.

The solution set is {-7,4}

Edwin

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