Math, asked by dasp12362, 10 months ago

(2x+1)+3/2x+1=4 solve this​

Answers

Answered by Laron27
3

Answer:

Step-by-step explanation:

Attachments:
Answered by pansumantarkm
1

Step-by-step explanation:

(2x + 1) +  \frac{3}{2x + 1}  = 4 \\  \\  =  >  \frac{ {(2x + 1)}^{2}  + 3}{2x + 1}  = 4 \\ \\   =  > 4 {x}^{2}  + 2x + 1 + 3 = 4(2x + 1) \:  \:  \:  \:  \:  \:  \: (cross \: multiplication) \\  \\  =  > 4 {x}^{2}  + 2x + 4 = 8x + 4 \\  =  > 4 {x}^{2}  + 2x + 4 - 4 - 8x = 0 \\  =  > 4 {x}^{2}  - 6x = 0 \\  =  > 2x(2x - 3) = 0 \\  \\ either \: 2x = 0 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \: (2x - 3) = 0 \\ x = 0 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \: 2x = 3 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \: x =  \frac{3}{2}

So, x = 0 or 3/2

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