Question

Solve the quadratic equation :

$(2x + 1) + \frac{3}{2x + 1} = 4 \:$
​

Answer 1

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$(2x + 1) + \frac{3}{(2x + 1)} = 4 \\ {(2x + 1)}^{2} + 3 = 4(2x + 1) \\ 4 {x}^{2} + 1 + 4x + 3 = 8x + 4 \\ 4 {x}^{2} - 4x = 0 \\ 4x( x - 1) = 0 \\ 4x = 0 \\ x = 0 \\ x - 1 = 0 \\ x = 1$

x=0

x=1

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