Question

(2x+1)+3/2x+1=4 solve this quadratic equation

Answer 1

(2x+1)+3/2x+1=4
⇒3/(2x+1)=3-2x⇒
⇒3=(2x+1)(3-2x)
⇒3=4x+3-4x²
⇒4x²-4x=0
⇒4x-4=0
⇒x=1⇒

Answer 2

let 2x+1=y 
then y+3/y=4
       y2+3=4y
  y2-4y+3=0
  y2 -3y-y+3=0
  y(y-3)-(y-3)=0
y=1,y=3
then
        2x+1=1 ,x=0
        2x+1=3 ,x=1