Question

'x' satisfying 4/(x+2) - 1/(x+3)= 4/(2x+1)
answer=-7/2 or 2​

Answer 1

Answer:

         x = -7/2  or  2

Step-by-step explanation:

    4/(x+2) - 1/(x+3) = 4/(2x+1)

⇒  4(x+3)(2x+1) - (x+2)(2x+1) = 4(x+2)(x+3)    [ multiplied by (x+2)(x+3)(2x+1) ]

⇒  [ 8x² + 28x + 12 ] - [ 2x² + 5x + 2 ] = 4x² + 20x + 24

⇒  6x² + 23x + 10 = 4x² + 20x + 24

⇒  2x² + 3x - 14 = 0

⇒  (2x+7)(x-2) = 0

⇒  2x+7 = 0  or  x-2 = 0

⇒  x = -7/2  or  x = 2

Answer 2

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