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Solve for x - 1/x+1 +2/x+2=4/x+y,x≠-1,-2,-4?

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Solve for x - 1/x+1 +2/x+2=4/x+y,x≠-1,-2,-4?
  • 1 answers

Sia ? 6 years, 5 months ago

{tex}\frac { x + 1 } { x - 1 } + \frac { x - 2 } { x + 2 } = 4 - \frac { 2 x + 3 } { x - 2 } {/tex}

{tex}\frac { x ^ { 2 } + 3 x + 2 + x ^ { 2 } - 3 x + 2 } { x ^ { 2 } + x - 2 }{/tex} = {tex}\frac { 4 x - 8 - 2 x - 3 } { x - 2 }{/tex}
(2x2 + 4) (x - 2) = (2x -11 ) (x2 + x - 2)
or, 5x2 + 19x- 30 = 0
or, (5x - 6) (4x - 5) = 0
or, x = {tex}\frac{5}{4}{/tex}{tex}\frac 65{/tex}

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