Question 200903
x/(x+1) + 5/x = 1/ ( x^2 +x)
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LCD = x (x+1) = x^2 +x,,,,,,,,,,multiply  thru
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x(x)  + 5(x+1)  = 1
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x^2 +5x +5 =1
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x^2 +5x +4 =0
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(x+1) (x+4) =0
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x = -1,,-4
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check
for  (-4),,,,(-4)/(-4+1)  +5/(-4)  =  1/ {  (-4)^2 +(-4) }
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(-4/ -3 )   -  ( 5/4)  = 1 / 12
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( 16 -15 ) /12 = 1/12
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1/12 = 1/12 ,,,,,,,,,,ok
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for  (-1),,,,,start  with,,,,,x^2 +5x +4 =0,, (-1)^2 +5(-1) +4 =0,,,, 1 -5 +4 =0,,,,,,ok
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