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(2x+1)/(x)+(4x)/(2x+1)=5

 Feb 11, 2019
 #1
avatar+17269 
+1

Multiply both sides of the equation by (2x+1)  to get

 

(2x+1)^2/x + 4x = 10x+5       now multiply by x

(2x+1)^2 + 4x^2 = 10x^2 + 5x     expand left side

4x^2 + 4x + 1   +  4x^2 = 10x^2 + 5x          collect like terms,,,,,and subtract   10x^2 and 5x from both sides

 

-2x^2 - x +1  = 0

2x^2+x-1 = 0

(2x - 1)( x + 1) = 0      x= 1/2    or  -1  

 Feb 11, 2019

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