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Sqrt(2x+3) +x = 1 Please note if there are any extraneous solutions. Steps please :)

 Feb 16, 2016
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Sqrt(2x+3) +x = 1       subtract x from both sides

 

Sqrt(2x+3)   =   1 - x     square both sides

 

2x + 3   =  (1 - x) ^2

 

2x + 3  = x^2 - 2x + 1       re-arrange as

 

x^2 - 4x - 2  = 0      this will not factor

 

Using the quadratic formula, the possible solutions are

 

x = 2 - √6         or       x =  2 + √6

 

And only the first answer  is a solution of the equation.......the second is extraneous

 

 

cool cool cool

 Feb 16, 2016

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