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